Unit 9 Lesson 5 math

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Answer the questions in the lessons listed. The files are complete with questions that are to be answered no work need to be shown.

Complete the sentence with the best answer. An exponential model should be used to model data if: A scatter plot of ln y versus ln x fits a linear pattern. A scatter plot of y versus ln x fits a linear pattern. A scatter plot of y versus x fits a linear pattern. A scatter plot of ln y versus x fits a linear pattern. Which system of equations can be used to find the exponential function that passes through the points (2, 254)) and (4, 6254)? 2=a(254)b4=a(6254)b 254=ab26254=ab4 254=a(2)b6254=a(4)b 2=ab2544=ab6254 Which system of equations can be used to find the power function that passes through the points (2, 10) and (8, 25)? Complete the sentence with the best answer. A power model should be used to model data if: A scatter plot of ln y versus ln x fits a linear pattern. A scatter plot of ln y versus x fits a linear pattern. A scatter plot of y versus ln x fits a linear pattern. A scatter plot of y versus x fits a linear pattern. Which table of values shows ln y versus x for the data below? Which of the following exponential models can be used to model the data below? Which exponential function goes through the points and ? Which of the following tables of values shows ln y versus ln x for the data points below? Which of the following power models can be used to model the data below? Find a power function that passes through the points (2.9, 9.4) and (7.3, 12.8).
Which of the following equations shows the logarithmic equation below in exponential form? Which of the following equations shows the logarithmic equation below in exponential form? Which of the following logarithms is equal to 1? Evaluate the logarithm -2 2 1/2 -1/2 without a calvulator. Use a calculator to evaluate log 6. Round to three decimal places. 1.732 0.778 1.792 2.449 Simplfy the expression Log x log 2 x Find the inverse of the function y = log7 49x y=2x y=7x What is the domain and range of the graph of the function below? y = log (x-2) Domain: all real numbers; Range: y > 2 Domain: all real numbers; Range: y < 2 Domain: x > 2; Range: all real numbers Domain: x < 2; Range: all real numbers The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude R is given by the model below, where E is the energy (in kilowatt-hours) released by the earthquake. R = 0.67 log (0.37E) + 1.46 Suppose an earthquake releases 14,500,000,000 kilowatt-hours of energy. What is the earthquake’s magnitude? Round to three decimal places. 4.400 3.979 8.268 7.979
What is the domain of the exponential function below? All negative numbers. All positive numbers. All real numbers except 0. All real numbers. What is the range of the exponential function below? All positive numbers. All real numbers except 0. All real numbers. All negative numbers. Describe the transformation of the graph translated 4 units left and 1 unit up. translated 4 units right and 1 unit up. translated 4 units left and 1 unit down. translated 4 units right and 1 unit down. from the parent graph, The amount g (in trillions of cubic feet) of natural gas consumed in the United States from 1940 to 1970 can be modeled by the equation below, where t is the number of years since 1940. g = 2.91(1.07)t Estimate the natural gas consumption in 1945. 4.12 trillion cubic feet. 4.08 trillion cubic feet 61.12 trillion cubic feet 15.57 trillion cubic feet Which exponential growth model would model the following situation: You buy a commemorative coin for \$105. Each year t, the value V of the coin increases by 3% V = 105(0.03)t V = 0.03(105)t V = 105(1.03)t V = 105(3)t The student enrollment E of a high school was 1200 in 1990 and increased by 12% per year until 1998. Which exponential growth model shows the school’s student enrollment in terms of t, the number of years since 1990? E = 12(1200)t E = 1200(1.12)t E = 1200(12)t E = 1.15(1240)t You deposit \$1500 in a bank account. Find the balance after 2 years if the account has an interest rate of 2.5% and is compounded monthly. \$1575.94 \$1576.82 \$1506.27 \$9375 You want to have \$3000 in your bank account after 5 years. How much should you deposit into a bank account that pays 3.25% interest compounded quarterly? Round to the nearest dollar. \$2551 \$2881 \$3527 \$2552

psumanrec
School: New York University

Hi,Please find answer which are highlighted in yellow.Let me know if you face any doubt in any question.Thank you.

Students and teachers at a school were polled to see if they were in favor of extending the parking
lot into part of the athletic fields. The results of the poll are shown in the two-way table below.
Which of the following statements is false?
In Favor Not in Favor
Students

16

23

Teachers

9

14

Thirty-nine students were polled in all.

Fourteen teachers were polled in all.

Twenty-three students are not in favor of extending the parking lot.

Nine teachers are in favor of extending the parking lot.

The table below shows the results of a poll in which randomly selected high school students were
Football

12

8

12

7

5

10

7

9

0.4375

0.5625

0.2286

0.1

The table below shows the results of a poll in which randomly selected high school students were
asked if they prefer Football or Basketball. What is the joint relative frequency of 10th graders who
like football?
Football

12

8

12

7

5

10

7

9

0.1143

0.1429

0.4444

0.3077

The table below shows the results of a poll in which randomly selected high school students were
asked if they prefer virtual or traditional schools. What is the marginal relative frequency of students
Virtual

9

14

17

20

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Anonymous
Awesome! Exactly what I wanted.

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