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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 11: Q2. (page 731)

Determine whether each table represents an inverse variation. Explain.

Short Answer

Expert verified

A table represents an inverse variation.

Step by step solution

01

Step 1. Inverse variation.

$y$ varies inversely as $x$ if there is some nonzero constant $k$ such that $x y = k$ , where $x 鈮� 0$ and $y 鈮� 0$ .

02

Step 2. Find xy.

Find $x y$ for each ordered pair.

$2 鈰� 2 = 4 4 鈰� 1 = 4 8 鈰� \frac{1}{2} = 4$

03

Step 3. Write the conclusion.

As $x y$ is constant, the table represents an inverse variation.

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