College Algebra 7th Edition

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

Chapter 1, Equations and Graphs - Section 1.10 - Modeling Variation - 1.10 Exercises: 36

Answer

(a) $C=kpm$ (b) $C=\frac{1}{8}pm$ (c) \$57500

Work Step by Step

(a) Since $C$ is jointly proportional to $p$ and $m$, we have: $C=kpm$ (b) We are given: $C=60000$, $p=120$, and $m=4000$. So we have: $60000=k*120*4000$ $k=\frac{1}{8}$ Therefore: $C= \frac{1}{8}pm$ (c) We are given: $p=92$ and $m=5000$, so we have: $C= \frac{1}{8}*92*5000=\$ 57500$
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