Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Cumulative Review - Page 473: 45

Answer

$\text{Constant of variation: } k=15 \\\text{Equation of variation: } u=\dfrac{15}{w} $

Work Step by Step

Since $u$ varies inversely as $w$, then $u=\dfrac{k}{w}.$ Substituting the known values of the variables, then, \begin{array}{l}\require{cancel} 3=\dfrac{k}{5} \\\\ 15=k \\\\ k=15 .\end{array} Hence, the variation has the following properties: \begin{array}{l}\require{cancel} \text{Constant of variation: } k=15 \\\text{Equation of variation: } u=\dfrac{15}{w} .\end{array}
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