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Chapter 11: Q17. (page 731)

Assume thaty varies inversely as x. Write an inverse variation equation that relatesx and y.

role="math" localid="1648019765637" y=2whenx=8

Short Answer

Expert verified

The inverse variation equation is xy=16.

Step by step solution

01

Step 1. Inverse variation.

yvaries inversely asx if there is some nonzero constant k such that xy=k, where x,y鈮�0.

02

Step 2. Substitute.

Substitute 2 fory and 8 forx into xy=k.

2鈰�8=k16=k

03

Step 3. Write the conclusion.

The constant of the variation is 16. Therefore, the inverse variation equation is xy=16.

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