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Chapter 11: Q4. (page 699)

Assume thaty varies inversely as x.

Ify=6 when x=3, findx when y=5.

Short Answer

Expert verified

Wheny=5 then x=185.

Step by step solution

01

Step 1. Define an inverse variation equation.

The inverse variation equation of two variables x 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 x when y=5 and if y=6 when x=3.

Assume that yvaries inversely as x.

Then the product rule for inverse variation is given by

x1y1=x2y2

Substitute x1=3,鈥�y1=6and y2=5in x1y1=x2y2.

3(6)=x2(5)18=5x2x2=185

Therefore when y=5then x=185.

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