Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.2 Linear Functions and Their Graphs - Exercise Set 7.2: 77

Answer

The statement makes sense.

Work Step by Step

RECALL: In the linear function $f(x) = mx + b$, $m$ is the slope or (average rate of change in $f(x)$ or $y$ for every unit increase in $x$), and $b$ is the y-intercept (value of the function when $x=0$). The equation that models the annual cost has a slope of $0.61$ and a y-intercept of $3500$. A y-intercept of $3500$ means that when the car is not used, the annual cost is $\$3500$. A slope is an average rate of change, so a slope of $0.61$ means that for every mile driven, the annual cost increases by $\$0.61$. Therefore, the given statement makes sense.
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