Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.8 - Modeling Using Variation - Concept and Vocabulary Check - Page 423: 6

Answer

In the equation, $S=\frac{8A}{P}$, the variable S varies directly as A and inversely as P.

Work Step by Step

Consider, $S\ =\ \frac{8A}{P}$. We can see that as A increases, S also increases or as A decreases, S also decreases. Also, it can be seen that when P increases, S decreases or when P decreases, S increases. The number 8 is the constant of proportionality. Therefore, in the equation $S\ =\ \frac{8A}{P}$ , S varies directly as A and inversely as P.
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