College Algebra (6th Edition)

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

Chapter 3 - Summary, Review, and Test - Review Exercises - Page 438: 77

Answer

Water = $134.4cm^{3}$

Work Step by Step

If the volume of water produced varies DIRECTLY as the volume of snow, we can express this relationship as: $$W = kS$$ where $W$ = volume of water produced, $k$ is a proportionality constant and $S$ = volume of snow. Knowing that, when $S=250$$cm^{3}$, $W=28cm^{3}$, we can find $k$: $$k=\frac{W}{S}$$ $$k=\frac{28}{250} = \frac{14}{125}$$ and answer the question: $$W = \frac{14}{125}(1200) = 134.4cm^{3}$$
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