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 - Exercise Set - Page 425: 44


It is an example of combined variation.

Work Step by Step

Variation formulas define the relation between two quantities such that if one quantity varies, we know how the other is affected. The equation provided is: $z=\frac{k\sqrt{x}}{{{y}^{2}}}$. The above equation is a case of combined variation. In combined variation, both types of direct and inverse variations occur at the same time. In this equation, as soon as the value of x increases, the value of z will also increase but as soon as value of y increases, the value of z will decrease. We also have k, which is a constant of variation that controls the degree/strength of the variation.  
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