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Chapter 8: Q 606. (page 1029)

If y varies inversely as x, when y=20andx=2,find y whenx=4.

Short Answer

Expert verified

The required answer isy=10whenx=4.

Step by step solution

01

Step 1. Given information.

We are given two variables xandy, here yvaries inversely as x.

y=20andx=2

02

Step 2. Write the formula for direct variation and substitute given values.

The direct variation formula is y=1x.

now substitute values y=20andx=2,

y=kx20=k240=k

Rewrite the general equation with the value we found for k,

y=kx

Find ywhenx=4,

y=404y=10

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