College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.7 - Page 430: 5

Answer

$\displaystyle \frac{5}{6}$

Work Step by Step

Solving Variation Problems (see p. 424) 1. $\ \ $Write an equation that models the given English statement. 2. $\ \ $Substitute the given pair of values into the equation in step 1 and find the value of k, the constant of variation. 3. $\ \ $Substitute the value of k into the equation in step 1. 4. $\ \ $Use the equation from step 3 to answer the problem's question. ----------- 1. $y$ varies directly as $x$ or $y$ is directly proportional to $x$. $y=kx$ $y$ varies inversely as $z^{2}$ or $y$ is inversely proportional to $z^{2}$. $y=\displaystyle \frac{k}{z^{2}}$ Combined: $y=\displaystyle \frac{kx}{z^{2}}$ 2. $20=\displaystyle \frac{k(50)}{5^{2}} $ $20=2k \qquad /\div 2$ $k=10$ 3. $y=\displaystyle \frac{10x}{z^{2}}$ 4. $y=\displaystyle \frac{10(3)}{6^{2}}=\frac{30}{36}=\frac{5}{6}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.