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Chapter 11: Q3. (page 699)

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

y=鈭�2when x=12.

Short Answer

Expert verified

An inverse variation equation that relates xand yisxy=鈭�24.

Step by step solution

01

Step 1. Define the meaning of variation.

The changing of variable parameters is called a variation.

02

Step 2. Define an inverse variation equation.

The inverse variation equation of two variablesx andy is given by

xy=k

Where,k is called the constant of variation.

03

Step 3. Write an variation equation that relates x and y for y=−2 when x=12.

Assume thaty varies inversely as x.

The inverse variation equation is given by

xy=k

Substitutex=12 and y=鈭�2.

12(鈭�2)=k鈭�24=kk=鈭�24

Substitutek=鈭�24 in xy=k.

xy=鈭�24

Therefore an inverse variation equation that relates role="math" localid="1648014671581" xand yis xy=鈭�24.

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