Find r when n = 160 if r varies directly as the square root of n and r = 4 when = 250

Find the required value by setting up the general equation and then evaluating.
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The general equation is r=k√n. We have to find k first.

When r=4 n=250, so 4=k√250. Squaring both sides: 16=250k², k=√(16/250)=2√10/25=0.253 approx.

The equation is r=0.253√n or r=2√(10n)/25.

by Top Rated User (1.2m points)

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