Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 1 - Section 1.2 - Mathematical Models: A Catalog of Essential Functions. - 1.2 Exercises - Page 34: 18

Answer

a) Jari b) Jade: $1\text{ mi/h}$ Jari: $\frac{7}{6}\text{ mi/h}$ c) Jade: $f(t)=t+10$ Jari: $f(t)=\frac{7}{6}t$

Work Step by Step

a) The line graph of the driver traveling at the faster speed will have a larger slope. Let us calculate the distance traveled from $t=0$ to $t=6$. Jade's distance changes from 10 to 16 while Jari's distance changes from 0 to 7. Therefore, Jari's speed is larger. b) Jade: $\frac{16-10}{6-0}=1\text{ mi/h}$ Jari: $\frac{7-0}{6-0}=\frac{7}{6}\text{ mi/h}$ c) Jade: The slope is $1$ and y-intercept is $10$, so $f(t)=t+10$. Jari: The slope is $\frac{7}{6}$ and y-intercept is $0$, so $f(t)=\frac{7}{6}t$.
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