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: 17

Answer

$k=2$, $y=\frac{2}{x}$

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 $y=\frac{1}{8}$ when $x=16$, then we know that $\frac{1}{8}=\frac{k}{16}$. Multiply both sides by 16. $k=\frac{16}{8}=2$ Therefore, the constant of variation is $k=2$ and the inverse variation equation is $y=\frac{2}{x}$.
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