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Chapter 11: Q12. (page 728)

Solve. Assume thaty varies inversely as x.

Ify=鈭�1 when x=鈭�3, findy when x=鈭�9.

Short Answer

Expert verified

When x=鈭�9,y=鈭�13.

Step by step solution

01

Step 1. Product rule for inverse variation.

If(a1,b1) and(a2,b2) are solutions of an inverse variation, then the productsa1b1 anda2b2 are equal.

02

Step 2. Apply product rule.

Apply product rule for inverse variation.

x1y1=x2y2(鈭�3)(鈭�1)=(鈭�9)(y)

03

Step 3. Simplify.

Simplify the above obtained equation.

3鈭�9=鈭�9y鈭�9y=鈭�13

Therefore, whenx=鈭�9,y=鈭�13.

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