Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-6 Inverse Variation - Practice and Problem-Solving Exercises - Page 704: 43

Answer

The missing value is: $8$ The equation is $y = \frac{2}{5}x$

Work Step by Step

The values of y seem to vary directly with the values of x. Ratio: $\frac{4}{10}=\frac{2}{5}$ $\frac{3.2}{8}=\frac{2}{5}$ The ratio $\frac{y}{x}$ is the same for all data pairs. So this is inverse variation, and $k =\frac{2}{5}$. The missing value is: $8$ since $\frac{8}{20}=\frac{2}{5}$ An equation is $y = \frac{2}{5}x$.
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