Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 2a – Linear Functions and Applications Practice Problems 5. The following table shows the growth of newspaper subscriptions in Middletown, USA with t equaling the number of years since 1995 (t = 0 in 1995) and S(t) representing the total subscriptions in each year. t (year) 0 2 4 6 8 S(t) (total subscriptions) 450,000 430,000 300,000 250,000 180,000 a) Use your calculator to determine the equation of the regression line. Determine the regression equation in y = ax + b form and write it here: _______________________ Rewrite the regression equation in S(t) = at + b form and write it here: _______________________ b) Write in words the meaning of the mathematical statement S(2) = 430,000 as it relates to this problem. c) Use the result from part a) to estimate the total subscriptions in 2007 (i.e. when t =12). Show your computations here and your final result. (Hint: This is a “Beyond the Data, given input, find output” question, so compute the value of S(12) and show your work here) d) What is the slope of S(t) and what is its meaning in the context of this problem? e) Use your last result from part a) to estimate the year in which the circulation will be 100,000. Round to the closest whole year. (Hint: This is a “Given output find input” question so solve the equation S(t) = 100,000 for t and round to the nearest year. Add your result to 1995). Scottsdale Community College Page 68 Intermediate Algebra
Lesson 2a – Linear Functions and Applications Practice Problems 6. Your turn. Create a story problem where the data changes linearly and then create a table that has data points for that story. a) Write the story problem. b) Create a table for the story problem. Make sure you use Function Notation. c) Compute the average rate of change for your data. Be sure to include units. d) What is the meaning of the average rate of change in this situation? e) Determine the vertical intercept for your data. What is the meaning of this vertical intercept? f) Use the vertical intercept and the rate of change to write the linear function model for the data. Use proper variable names and proper function notation. g) Write a read the data question given the input. Write your question as a complete sentence and in function notation. h) Write a read the data question given the output. Write your question as a complete sentence and in function notation. Scottsdale Community College Page 69 Intermediate Algebra
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Scottsdale Community College Interm
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Table of Contents Lesson 1a - Intro
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Lesson 1a - Introduction to Functio
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Lesson 6a - Exponents and Rational
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Lesson 6b - Rational Exponents & Ra
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Lesson 6b - Rational Exponents and
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Appendix A: You Try Answers Lesson
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Appendix A: You Try Answers You Try
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Intermediate Algebra – Student Workbook – Second Edition 2013

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