Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 3 - 3.5 - Mathematical Modeling and Variation - 3.5 Exercises - Page 297: 76


False. In this case, $y$ is directly proportional to $z$

Work Step by Step

$a,b,c$ are constants. $y=a\frac{1}{x}$ $x=b\frac{1}{z}$. Replace this equation in the above equation. $y=a\frac{1}{b\frac{1}{z}}=\frac{a}{b}(1)\frac{z}{1}=\frac{a}{b}z$ $y=cz$, where $c=\frac{a}{b}$
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