College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.10 - Modeling Variation - 1.10 Exercises - Page 164: 33


(a) $z=kx^{3}y^{5}$ (b) 864

Work Step by Step

(a) Since $z$ is jointly proportional to the cube of $x$ and the fifth power of $y$, we have: $z=kx^{3}y^{5}$ (b) We know that $x$ is tripled and $y$ is doubled, so we have: $z=k(3x)^{3}(2y)^{5}=864kx^{3}y^{5}$ Therefore, $z$ changes by a factor of $864$.
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