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: 49

Answer

The provided statement does not make sense.

Work Step by Step

Variation formulas are the formulas that define the relation between two quantities. Inverse variation is one form of the equation where two quantities vary inversely. This means that one quantity increases as the other decreases. The inverse variation can be described as: $y=\frac{k}{x}$ It is said that y is inversely proportional to x because y varies inversely as x. k is called a constant of variation and $k\ne 0$. The inverse variation equation is a rational function. If someone is using inverse variation and the independent variable is zero then it is impossible to define the equation of the type $y=\frac{k}{x}$. This is because the zero value in the denominator makes the rational function undefined. But as mentioned above, the inverse variation equation is a rational function. Thus, the given statement that ‘I am using an inverse variation equation and I need to determine the value of the dependent variable when the independent variable is zero’ does not make any sense.
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