Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-6 Inverse Variation - Practice and Problem-Solving Exercises - Page 691: 30


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 $24 cm^{2}$ Lets think about possible Lengths and Widths: $l\times w = 24cm^{2}$ $1\times 24 = 24cm^{2}$ $2\times 12 = 24cm^{2}$ $3\times 4 = 24cm^{2}$ $4\times 3 = 24cm^{2}$ 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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