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 423: 4



Work Step by Step

To find out the solution we need to follow the 3-step procedure, Step (1): As $y$ varies inversely as $x$, we have $y=\frac{k}{x}$ Here $k$ is a constant. Step (2): Substitute $x=3$ and $y=6$ in $y=\frac{k}{x}$ to get the value of k. $\begin{align} & 6=\frac{k}{3} \\ & 18=k \\ & k=18 \\ \end{align}$ Step (3): Substitute $k=18$ and x = 9 in $y=\frac{k}{x}$ to get: $\begin{align} & y=\frac{18}{9} \\ & y=2 \\ \end{align}$
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