Calculus: Early Transcendentals 9th Edition

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

Chapter 2 - Section 2.8 - The Derivative as a Function - 2.8 Exercises - Page 164: 40

Answer

As $p$ increases, we would expect $N$ to decrease. Therefore, we would expect $\frac{dN}{dp}$ to be negative.

Work Step by Step

$N$ is the number of people who travel by car to another state for a vacation this year when the average price of gasoline is $p$ dollars per gallon. If the average price of gasoline is low, we would expect that more people would travel by car on vacation. If the average price of gasoline is high, we would expect that fewer people would travel by car on vacation. As $p$ increases, we would expect $N$ to decrease. Therefore, we would expect $\frac{dN}{dp}$ to be negative.
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