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 - Page 397: 19


$k=.14$, $y=\frac{.14}{x}$

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 $y=.2$ when $x=.7$, then we know that $.2=\frac{k}{.7}$ (or $\frac{2}{10}=\frac{10k}{7}$). Multiply both sides by $\frac{7}{10}$. $k=\frac{2\times7}{10\times10}=\frac{14}{100}=.14$ Therefore, the constant of variation is $k=.14$ and the inverse variation equation is $y=\frac{.14}{x}$.
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