Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-6 Inverse Variation - Practice and Problem-Solving Exercises - Page 703: 30

Answer

inverse variation

Work Step by Step

A quick way to recognize direct and inverse variation is to ask, "as x goes up in value, what does y do?" If y goes up, then it is a direct variation. If y goes down, then it is an inverse variation. In this situation, the area of each rectangle is 24cm2 Lets think about possible Lengths and Widths: $$l×w=24cm^2$$ $$1×24=24cm^2$$ $$2×12=24cm^2$$ $$3×4=24cm^2$$ $$4×3=24cm^2$$ And so on. Examining this data, we can see that as our length (x) gets bigger, our width (y) gets smaller. Therefore, this represents an inverse variation.
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