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Chapter 11: Q18. (page 731)

Assume that yvaries inversely as x. Write an inverse variation equation that relates xand y.

y=鈭�3whenx=1

Short Answer

Expert verified

The inverse variation equation is xy=鈭�3.

Step by step solution

01

Step 1. Inverse variation.

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

02

Step 2. Substitute.

Substitute for -3and 1 for xinto xy=k.

localid="1648020574656" 1鈰�鈭�3=k鈭�3=k

03

Step 3. Write the conclusion.

The constant of the variation is 鈭�3. Therefore, the inverse variation equation is xy=鈭�3.

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