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: 8

Answer

300

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. $C$ varies directly as $A$ or $C$ is directly proportional to $A$. $C=kA$ $C$ varies directly as $T$ or $C$ is directly proportional to $T$. $C=kT$ Combined: $C=kAT$ 2. $175=k(2100)(4) $ $175=8400k \qquad /\div 8400$ $k=\displaystyle \frac{175}{8400}=\frac{1}{48}$ 3. $y=\displaystyle \frac{1}{48}xz$ 4. $y=\displaystyle \frac{1}{48}(2400)(6) =\frac{14400}{48}=300$
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