Math questions using Desmos Graphing Calculator

Anonymous
timer Asked: Jun 20th, 2018
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Question description

Please solve problem 63 in the first attached img (named problem 63), only solve problem 1f in the second attachment (named week 5 app set) and please solve all questions in the quiz attachment (named math 037 quiz) and show all work as:

  • Question (or Problem) Being Solved
  • Method Used to Solve
  • Results

Math questions using Desmos Graphing Calculator
problem_63.png
Problem 1 You work on an FBI team investigating “Bitcoin,” a digital form of currency that has been the subject of extensive scrutiny by international financial and law enforcement authorities. It was the currency used for transactions in the “Silk Road” dark Web drug-trafficking markets, which were shut down by law enforcement officials in late 2013 and again in late 2014 (​http://www.usatoday.com/story/news/nation/2014/11/06/feds-shut-down-silk-road-copycat/18591 155/​). The average market price in US dollars of one Bitcoin from January 2014 (just after the first “Silk Road” incident) through July 2016 has fluctuated significantly as indicated in the following table of values: x-value Months since January 2014 y-value Average US$ market price per Bitcoin January, 2014 0 805 April, 2014 3 462 July, 2014 6 651 October, 2014 9 386 January, 2015 12 316 April, 2015 15 245 July, 2015 18 261 October, 2015 21 239 January, 2016 24 434 April, 2016 27 419 July, 2016 30 679 October, 2016 33 615 Date (​https://bitcoinaverage.com/en/bitcoin-price/btc-to-usd​) a) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​January 2014 to April 2015​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​January 2014 and April 2015. Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​January 2014 and April 2015​. Math 037 Problem-Solving Applications (Week 5) Page 1 of 14 iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? b) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​January 2014 to April 2015​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​January 2014 to April 2015​ is given by the equation y = -33x + 730. Add that line to your graph of the scatter plot. ii) Identify the x-intercept of the line drawn in part (i). Explain in a sentence or two what the x-intercept means in the context of this linear model. c) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​October 2014 to October 2015​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​October 2014 and October 2015.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​October 2014 and October 2015​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? d) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​October 2014 to October 2015​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from​ October 2014 to October 2015​ is given by the equation y = -12x + 460. Add that line to your graph of the scatter plot. ii) Identify the x-intercept of the line drawn in part (i). Explain in a sentence or two what the x-intercept means in the context of this linear model. e) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​October 2015 to October 2016​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​October 2015 and October 2016​. Write the slope in decimal form, rounding to the nearest tenth if necessary. Math 037 Problem-Solving Applications (Week 5) Page 2 of 14 ii) Write an equation in slope-intercept form of the line through the data points given in ​October 2015 and October 2016. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? f) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​October 2015 to October 2016​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​October 2015 to October 2016​ is given by the equation y = 33x - 405. Add that line to your graph of the scatter plot. ii) Identify the x-intercept of the line drawn in part (i). Explain in a sentence or two what the x-intercept means in the context of this linear model. g) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for all of the data given from ​January 2014 to October 2016​. Label the axes of the scatter plot to reflect the information given in the table. i) Based on the scatter plot, do the data points appear to follow a linear model, a curvilinear model, or neither? ii) If the data relation appears to be linear, find the slope of the line through the first and last data points in the table (​January 2014 and October 2016​) and explain the meaning of that slope in the context of the problem. iii) If the data relation appears to be non-linear, discuss in a few sentences some possible reasons for the shape of the scatter plot shown. Math 037 Problem-Solving Applications (Week 5) Page 3 of 14 Problem 2 As a gerontologist, you are studying the changes in rate of heart disease among the elderly over time. To gather background information, you start with a visit to the website of the Centers for Disease Control and Prevention (CDC). On the CDC website, you find the table below, which displays the age-adjusted death rate (per 1000 US standard population) due to heart disease from 1900 through 2010. Year x Years since 1900 y Age-adjusted death rate due to heart disease (per 1000 standard US population) 1900 0 2.65 1910 10 3.45 1920 20 3.75 1930 30 4.68 1940 40 5.59 1950 50 5.89 1960 60 5.59 1970 70 4.93 1980 80 4.12 1990 90 3.32 2000 100 2.58 2010 110 1.79 (​https://data.cdc.gov/NCHS/NCHS-Age-adjusted-Death-Rates-for-Selected-Major-C/6rkc-nb2q​) a) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​1900 to 1950 ​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​1900 and 1950.​ Write the slope in decimal form, rounding to the nearest hundredth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​1900 and 1950​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? Math 037 Problem-Solving Applications (Week 5) Page 4 of 14 b) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​1900 to 1950​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​1900 to 1950​ is given by the equation y = 0.07x + 2.65. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) what would the age-adjusted rate of heart disease be in the year 2010? iii) Compare your answer to (ii) with the actual age-adjusted rate of heart disease in the year 2010. Is the linear model given in part (i) a reasonable approximation over the entire period of time shown in the table? Why or why not? c) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​1950 to 2000 ​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​1950 and 2000.​ Write the slope in decimal form, rounding to the nearest hundredth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​1950 and 2000​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? d) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​1950 to 2000​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​1950 to 2000​ is given by the equation y = -0.07x + 9.6. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) what would the age-adjusted rate of heart disease be in the year 2010? iii) Compare your answer to (ii) with the actual age-adjusted rate of heart disease in the year 2010. Is the linear model given in part (i) a reasonable approximation over the entire period of time shown in the table? Why or why not? e) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​1930 to 1970​. Label the axes of the scatter plot to reflect the information given in the table. Math 037 Problem-Solving Applications (Week 5) Page 5 of 14 i) Determine the slope of the line through the data points given in ​1940 to 1960.​ Write the slope in decimal form, rounding to the nearest hundredth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​1940 and 1960​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? f) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​1930 to 1970​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​1930 to 1970​ is given by the equation y = 0.005x + 5.086. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) what would the age-adjusted rate of heart disease be in the year 2010? iii) Compare your answer to (ii) with the actual age-adjusted rate of heart disease in the year 2010. Is the linear model given in part (i) a reasonable approximation over the entire period of time shown in the table? g) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for all of the data given from ​1900 to 2010​. Label the axes of the scatter plot to reflect the information given in the table. i) Based on the scatter plot, do the data points appear to follow a linear model, a curvilinear model, or neither? ii) If the data relation appears to be linear, find the slope of the line through the first and last data points in the table (​1900 and 2010​) and explain the meaning of that slope in the context of the problem. iii) If the data relation appears to be non-linear, discuss in a few sentences some possible reasons for the shape of the scatter plot shown. Math 037 Problem-Solving Applications (Week 5) Page 6 of 14 Problem 3 As a new lawyer in the Antitrust Division of the US Government’s Department of Justice, you are researching the number of cases filed against individuals suspected of violating US antitrust laws in recent years. Below is a table that lists the number of criminal cases filed against individuals by the Justice Department’s Antitrust Division annually, from 2006 to 2015 (​https://www.justice.gov/atr/criminal-enforcement-fine-and-jail-charts​)​: Year x Years since 2006 y Annual number of cases filed against individuals 2006 0 37 2007 1 47 2008 2 59 2009 3 65 2010 4 63 2011 5 82 2012 6 63 2013 7 34 2014 8 44 2015 9 66 (​https://www.justice.gov/atr/criminal-enforcement-fine-and-jail-charts​) a) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2006 to 2009​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​2006 and 2009.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​2006 and 2009​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? Math 037 Problem-Solving Applications (Week 5) Page 7 of 14 b) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2006 to 2009​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​2006 to 2009​ is given by the equation y = 9.6x + 37.6. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) how many antitrust cases would be filed against individuals in 2015? iii) Compare your answer to (ii) with the actual number of antitrust cases filed against individuals in 2015. Is the linear model given in part (i) a reasonable approximation over the entire period of time shown in the table? Why or why not? c) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2011 to 2013 ​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​2011 and 2013.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​2011 and 2013​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? d) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2011 to 2013 ​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​2011 to 2013​ is given by the equation y = -24x + 204. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) how many antitrust cases would be filed against individuals in 2015? iii) Compare your answer to (ii) with the actual number of antitrust cases filed against individuals in 2015. Is the linear model given in part (i) a reasonable approximation over the entire period of time shown in the table? Why or why not? Math 037 Problem-Solving Applications (Week 5) Page 8 of 14 e) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2013 to 2015​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​2013 and 2015.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​2013 and 2015​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? f) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2013 to 2015​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​2013 to 2015​ is given by the equation y = 16x - 80 Add that line to your graph of the scatter plot. ii) Identify the x-intercept of the line drawn in part (i). Explain in a sentence or two what the x-intercept means in the context of this linear model. g) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for all of the data given from ​2006 to 2015​. Label the axes of the scatter plot to reflect the information given in the table. i) Based on the scatter plot, do the data points appear to follow a linear model, a curvilinear model, or neither? ii) If the data relation appears to be linear, find the slope of the line through the first and last data points in the table (​2006 and 2015​) and explain the meaning of that slope in the context of the problem. iii) If the data relation appears to be non-linear, discuss in a few sentences some possible reasons for the shape of the scatter plot shown. Math 037 Problem-Solving Applications (Week 5) Page 9 of 14 Problem 4 As a counselor in a college wellness center, you are aware that studies have shown a growing number of college students are seeking counseling services for a variety of reasons, including depression, anxiety, and relationship problems. You are interested in studying how the trends at your college reflect national trends. You begin by examining the following table that lists the percentage of US college students presenting with depression as their main reason for seeking counseling from 2007 through 2013 (​http://www.apa.org/monitor/2014/09/cover-pressure.aspx​): Year x Years since 2007 y Percent of all US college students seeking counseling who present with depression as main reason for counseling (%) 2007 0 39.5 2008 1 37.2 2009 2 37.7 2010 3 38.0 2011 4 37.2 2012 5 36.3 2013 6 39.5 (​http://www.apa.org/monitor/2014/09/cover-pressure.aspx​) a) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2007 to 2010​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​2007 and 2010.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​2007 and 2010​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? Math 037 Problem-Solving Applications (Week 5) Page 10 of 14 b) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2007 to 2010​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​2007 to 2010​ is given by the equation y = -0.4x + 38.7. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) what percent of all US college students who seek counseling present with depression as the main reason for counseling in the year 2013? iii) Compare your answer to (ii) with the actual percent shown in the table for 2013. Is the linear model given in part (i) a reasonable approximation over the entire period of time shown in the table? Why or why not? c) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2010 to 2013 ​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​2010 and 2013.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​2010 and 2013​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? d) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2010 to 2013​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​2010 to 2013​ is given by the equation y = 0.4x + 36. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) predict the percent of all US college students seeking counseling who present with depression as the main reason for counseling in the year 2018. iii) Based on the equation given in part (i) predict the percent of all US college students seeking counseling who present with depression as the main reason for counseling in the year 2020. Math 037 Problem-Solving Applications (Week 5) Page 11 of 14 e) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2010 to 2012​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​2010 and 2012.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​2010 and 2012​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? f) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2010 to 2012​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​2010 to 2012​ is given by the equation y = -1x + 41. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) predict the percent of all US college students seeking counseling who present with depression as the main reason for counseling in the year 2018. iii) Based on the equation given in part (i) predict the percent of all US college students seeking counseling who present with depression as the main reason for counseling in the year 2020. g) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for all of the data given from ​2007 to 2013​. Label the axes of the scatter plot to reflect the information given in the table. i) Based on the scatter plot, do the data points appear to follow a linear model, a curvilinear model, or neither? ii) If the data relation appears to be linear, find the slope of the line through the first and last data points in the table (2006 and 2015) and explain the meaning of that slope in the context of the problem. iii) If the data relation appears to be non-linear, discuss in a few sentences some possible reasons for the shape of the scatter plot shown. Math 037 Problem-Solving Applications (Week 5) Page 12 of 14 Problem 5 As a cybersecurity professional, you are always paying attention to new trends in cyberattacks. In recent years, there has been an increase in “spear-phishing,” a form of e-mail fraud targeting a specific organization to seek unauthorized access to confidential data. The following table of values lists the percentage of all “spear-phishing” cyberattacks against American businesses from 2011 – 2015 that targeted “small” businesses: Year x Years since 2011 y Percentage of “spear-phishing” cyberattacks against US businesses targeting “small” businesses (%) 2011 0 18 2012 1 31 2013 2 30 2014 3 34 2015 4 43 (​https://www.symantec.com/content/dam/symantec/docs/infographics/istr-attackers-strike-l arge-business-en.pdf​) a) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2011 to 2013​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​2011 and 2013.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​2011 and 2013​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? b) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2011 to 2013​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​2011 to 2013 ​is given by the equation y = 6x + 18. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) what percent of all US “spear-phishing” attacks will target small businesses in 2015? Math 037 Problem-Solving Applications (Week 5) Page 13 of 14 iii) Compare your answer to (ii) with the actual percent shown in the table for 2015. Is the linear model given in part (i) a reasonable approximation over the entire period of time shown in the table? Why or why not? c) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2012 to 2014 ​. Label the axes of the scatter plot to reflect the information given in the table. i) Determine the slope of the line through the data points given in ​2012 and 2014.​ Write the slope in decimal form, rounding to the nearest tenth if necessary. ii) Write an equation in slope-intercept form of the line through the data points given in ​2012 and 2014​. iii) Add the line with equation found in part (ii) to your graph of the scatter plot. Does this line appear to be a good model for the data in this scatter plot? Why or why not? d) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for the data given from ​2012 to 2014 ​. Label the axes of the scatter plot to reflect the information given in the table. i) A possible linear model for the data given from ​2012 to 2014​ is given by the equation y = 1.5x + 29.5. Add that line to your graph of the scatter plot. ii) Based on the equation given in part (i) what percent of all US “spear-phishing” attacks will target small businesses in 2015? iii) Compare your answer to (ii) with the actual percent shown in the table for 2015. Is the linear model given in part (i) a reasonable approximation over the entire period of time shown in the table? Why or why not? e) Use the Desmos graphing calculator (​https://www.desmos.com/calculator​) to construct a scatter plot for all of the data given from ​2011 to 2015​. Label the axes of the scatter plot to reflect the information given in the table. i) Based on the scatter plot, do the data points appear to follow a linear model, a curvilinear model, or neither? ii) If the data relation appears to be linear, find the slope of the line through the first and last data points in the table (​2011 and 2015​) and explain the meaning of that slope in the context of the problem. iii) If the data relation appears to be non-linear, discuss in a few sentences some possible reasons for the shape of the scatter plot shown. Math 037 Problem-Solving Applications (Week 5) Page 14 of 14
Please remember to show ALL of your work on every problem a) Each step should show the complete expression or equation rather than a piece of it. b) Each new step should follow logically from the previous step, following rules of algebra. c) Each new step should be beneath the previous step. d) The equal sign, =, should only connect equal numbers or expressions. 1) Graph the linear equation by finding and plotting the intercepts. Show all work and write each intercept as an ordered pair. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. 3x − 5 y = 15 x-intercept = y-intercept = Math 037 Quiz 3 2) Given the line with equation 3x + 4 y = 12 : a) Convert the equation to slope-intercept form. b) State the slope of the line. Page 2 of 9 Math 037 Quiz 3 Page 3 of 9 c) State the y-intercept of the line as an ordered pair. d) Use slope-intercept form to graph the line. See following page for graphing grid. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. Math 037 Quiz 3 Page 4 of 9 3) Given the points (4, 3) and (8, 9). a) Find the slope of the line through the points (4, 3) and (8, 9). b) Write the equation of the line through the points in point-slope form, y − y1 = m ( x − x1 ) . c) Convert the equation that you wrote in part (b) to slope-intercept form, y = mx + b . d) Convert the equation that you wrote in part (b) to standard form, Ax + By = C , where A, B, and C are integers and A > 0. e) Graph the line through the two given points. See following page for graphing grid. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. Math 037 Quiz 3 Page 5 of 9 6 x + 5 y = 20 . Write an equation in point-slope form of the line parallel to the given line through the point (2, -3). 4) Given a line with equation Math 037 Quiz 3 Page 6 of 9 5) Graph both lines from Question #4 on one coordinate system. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. Math 037 Quiz 3 Page 7 of 9 6 – 10) In 1964, the United States Surgeon General released a first report warning of the harms caused by smoking. As a health care professional, you are working on a smoking-cessation program, and you are studying the table in the table below: Year x Years since 1965 y Percentage of American adults who smoke 1965 0 42.4 1970 5 37.4 1980 15 33.2 1985 20 30.1 1990 25 25.5 1995 30 24.7 1999 34 23.5 2001 36 22.8 2005 40 20.9 2007 42 19.8 2011 44 19 2014 49 16.8 Source: https://www.cdc.gov/tobacco/data_statistics/tables/trends/cig_smoking/index.htm 6) Using the data for 1990 and 2014, write the two data points as ordered pairs, plot them on a clearly labeled and scaled coordinate grid, and draw the line through them. You may use the grid below, or attach your own. If you attach your own graph, please use graph paper with clearly labeled and scaled axes. Math 037 Quiz 3 Page 8 of 9 7) Determine the slope of the line through the two points you graphed in #6. Write your answer in decimal form, rounded to the nearest hundredth of a percent (if necessary) 8) Explain in a sentence or two the meaning of the slope in the context of the problem. Math 037 Quiz 3 9) Write an equation in point-slope form of the line through the two points. 10) Convert the equation to slope-intercept form. Page 9 of 9

Tutor Answer

Robert F
School: New York University

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Running head: MATH ASSIGNMENT

1

Math Assignment
(Name)
(Course)
(Date)

MATH ASSIGNMENT

2
Math Assignment
Quiz

Question:
Question 1
Method used to solve:
The steps used to solve question 1 in the quiz are:
1. Rearrange the equation in the form y = mx + b
2. Give two values to x (x1 and x2) and calculate the resulting values of y (y1 and y2) by
substituting the x values in the equation obtained in step 1.
3. Draw the points (x1, y1) and (x2, y2) in the graph
4. Draw the line joining the two points
5. Calculate the x-intercept by substituting y = 0 in the equation
6. Calculate the ...

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Anonymous
Totally impressed with results!! :-)

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