Precalculus (6th Edition) Blitzer

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

Chapter 2 - Section 2.8 - Modeling Using Variation - Exercise Set - Page 425: 37


a. $C=\frac{kP_1P_2}{d^2}$, where $k$ is a constant. b. $k\approx0.02$, $C=\frac{0.2P_1P_2}{d^2}$ c. $39813$ calls.

Work Step by Step

a. Based on the given conditions, we can write the relation as $C=\frac{kP_1P_2}{d^2}$, where $k$ is a constant. b. Given $P_1=777,000, P_2=3,695,000, d=420\ mi$ and $C=326,000$ we have $C=\frac{777000(3695000)k}{(420)^2}=326000$ which gives $k\approx0.02$ and the variation equation becomes $C=\frac{0.2P_1P_2}{d^2}$ c. Given $P_1=650,000, P_2=490,000, d=400\ mi$ we have $C=\frac{0.2(650000)(490000)}{400^2}\approx39813$ calls.
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