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: 14

Answer

$k=180$, $y=\frac{180}{x}$

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 $y=20$ when $x=9$, then we know that $20=\frac{k}{9}$. Multiply both sides by 9. $k=20\times9=180$ Therefore, the constant of variation is $k=180$ and the inverse variation equation is $y=\frac{180}{x}$.
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