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Chapter 11: Q5. (page 699)

Assume thaty varies inversely as x.

Ify=3 when x=2, findy when x=4.

Short Answer

Expert verified

Whenx=4then y=32.

Step by step solution

01

Step 1. 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.

02

Step 2. Define the product rule for inverse variation.

If(x1,鈥�y1) and(x2,鈥�y2) are solutions of an inverse variation, then the equationx1y1=x2y2 is called the product rule for inverse variation.

03

Step 3. Calculate y when x=4 and if y=3 when x=2.

Assume thatyvaries inversely as x.

Then the product rule for inverse variation is given by

x1y1=x2y2

Substitutex1=2,鈥�y1=3andx2=4in x1y1=x2y2.

localid="1650904035932" 2(3)=4(y2)6=4y2y2=64y2=32

Therefore when localid="1650904026878" x=4then localid="1650904022237" y=32.

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