Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 2 - Functions, Equations, and Graphs - 2-1 Relations and Functions - Practice and Problem-Solving Exercises: 32

Answer

If $y$ equals the total cost and $x$ equals the total miles: (a) Proxy car rental: $y=.32x+18$ (b) YourPal car rental: $y=.36x+12$ (c) Proxy

Work Step by Step

To find the function of a rental company, we multiply the cost per mile by $x$ and add the surcharge. We multiply the cost per mile by the total miles to get the amount paid from the miles. $\frac{cost}{mile}\times mile=cost$. We then add the surcharge to finish the function. (c) We substitute 820 into the functions Proxy: $.32(820)+18=280.4$ YourPal: $.36(820)+12=307.2$ Proxy offers a better deal.
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