Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - 3.6 Variation - 3.6 Exercises - Page 387: 13

Answer

$r=12/5=2.4$

Work Step by Step

"r varies directly as m squared and inversely as s" can be written as: $r=\frac{km^2}{s}$, with $k$ is a constant. Because we are given with all 3 values $r, m, s$ in a set, we are able to find the constant $k$. $12=\frac{k*6^2}{4}$ $36k=12*4=48$ $k=4/3$ Then, we use the $k$ value just found to solve for r with another values of $m$ and $x$. $r=\frac{4/3*6^2}{20}=\frac{4}{3*20}*36=36/15=12/5$
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