College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.5 - Linear Functions and Models - 2.5 Exercises - Page 232: 44

Answer

Brianna: $-0.05$ Meilin's: $-0.08$

Work Step by Step

We use the staring and ending points on the graph to find the slope (rise over run): The rate of change/grade of Brianna's road is: $\frac{f(y)-f(x)}{y-x}=\frac{0-500}{10000-0}=-0.05$ or $-5\%$. The rate of change/grade of Meilin's road is: $\frac{f(y)-f(x)}{y-x}=\frac{0-1200}{15000-0}=-0.08$ or $-8\%$.
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