Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.7 - Variation and Problem Solving - Exercise Set: 20

Answer

$k=.18$, $y=\frac{.18}{x}$

Work Step by Step

If y varies inversely as x, we know that the variables x and y can be related by the function $y=\frac{k}{x}$, where k is the constant of proportionality. If $y=.6$ when $x=.3$, then we know that $.6=\frac{k}{.3}$ (or $\frac{6}{10}=\frac{10k}{3}$). Multiply both sides by $\frac{3}{10}$. $k=\frac{6\times3}{10\times10}=\frac{18}{100}=.18$ Therefore, the constant of variation is $k=.18$ and the inverse variation equation is $y=\frac{.18}{x}$.
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