Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.10 - Modeling with Functions - Exercise Set - Page 291: 6


a. $f(x)=2.5x$ b. $g(x)=21+x$ c. $14$ times, $35$ dollars.

Work Step by Step

a. Without a discount pass, the monthly cost is $f(x)=2.5x$ where $x$ is the number of times using the bridge. b. With a discount pass, the monthly cost is $g(x)=21+x$ c. Let the above cost to be equal, we have $2.5x=21+x$ which gives $1.5x=21$ and $x=14$ times. The total cost would be $f(14)=2.5(14)=35$ dollars.
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