## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# 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.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.