MATH 1314 Dallas College El Centro Campus Critical Thinking Strategies Worksheet

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Mathematics

math 1314

Dallas College El Centro Campus

MATH

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Need help with assignment that has four question that needs written solution for college algebra.

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FIRST and LAST INITIAL ONLY: Semester/Year: Class: Last 4 digits of your ID: _____________ Section: MATH 1314 Signature Assignment Revised 10/24/2016 MATH 1314 – Signature Assignment The Mathematics Department has designed a project to introduce students in MATH 1314 to critical thinking strategies, as well as help students document their thinking when tackling difficult, complex scenarios. This assignment is worth 10 points towards your final grade. • • • • Read the problem carefully. The problem may have multiple parts. Answer each part clearly using several sentences (pay attention to the instructions). Include diagrams and appropriate mathematical terminology. Be sure that you’ve written out your thoughts in the space provided with the self-checklist below in mind. You may want to print out an extra copy for a rough draft. Scan your completed work to a pdf file and upload it to blackboard. Scanners are available in the Learning Center to help you create the pdf file or you may your smart device to do so. Self Checklist: You must check the items below before submitting your work. □1. Did I write several complete sentences? □2. Did I cite correct and relevant mathematics, including accurate calculations and proper notation? □3. Are my drawings neat and labeled, with properly scaled graphs shown on graph paper? Page 1 □4. Did I reason thoroughly? □5. Did I answer the question posed and include at least two types of evidence? The table lists the average annual cost of tuition and fees at private 4-year colleges for selected years. YEAR Tuition and Fees (in dollars) 1994 11,719 1996 13,994 1998 17,709 2000 16.233 2002 21,116 2004 24,101 2006 32,218 1. Given any two data points with each consisting of the year and its corresponding tuition and fees, describe in detail how you would find a linear function that models the data shown in the table. Be sure to clearly define and interpret all components involved in your model. 2. Determine a linear function that models the data, where x = 0 represents 1994, and x = 1 represents 1995, and so on. Use the points (0, 11719) and (12, 32218 ) . Choose two more combinations of points and use them to create two additional linear functions that model the data. Record the three linear functions below. Function 1: Function 2: Function 3: 3. How would you go about using these functions to predict the average annual cost of tuition and fees for a future year? Suppose you are in the marketing department for a college and you are trying to determine which function to use to encourage future students attend your college. Explore and state the messages that can be sent to prospective students by each function. 4. Use all three functions to approximate tuition and fees in 2035. State your results below. Next, choose the function you would use to encourage prospective students and explain the reasoning behind your choice. Function 1: Function 2: Function 3: Function of choice: Page 2 Explanation: Page 3 Use this page if you need extra space.
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