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 - Page 165: 38


(a) $P=ks^{3}$ (b) $k=0.08$, $P=0.08s^3$ (c) $P=270\ $hp

Work Step by Step

(a) Since $P$ is directly proportional to the cube of $s$, we have: $P=ks^{3}$ (b) We are given: $P=80$ and $s=10$, so we have: $80=k(10)^{3}$ $k=\frac{80}{1000}=0.08$ Therefore: $P=0.08s^3$ (c) We are given $s=15$ and need to find $P$: $P= 0.08(15)^{3}=270\ $hp
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