SOLUTION: If s varies inversely as sqrt(d) find the percentage change in the value of s when the value of d is reduced by 75%. a) 133 1/3% b) 100% c) 75% d) 50% e) none of these

Question 251505: If s varies inversely as sqrt(d) find the percentage change in the value of s when the value of d is reduced by 75%.
a) 133 1/3% b) 100% c) 75% d) 50% e) none of these
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If s varies inversely as sqrt(d) find the percentage change in the value of s when the value of d is reduced by 75%.
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s = k/sqrt(d)
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If D = 0.75d
S = k/sqrt(D)
S = k/sqrt((3/4)d)
S = k/(1/2)sqrt(3d)
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s/S = [k/sqrt(d)]/[k/[(1/2)(sqrt(3)*sqrt(d)]
Cancel the k and the sqrt(d):
s/S = 1/[(1/2)sqrt(3)
s/S = 2/sqrt(3)
s/S = 1.1547
s/S = 115.47%
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Cheers,
Stan H.

a) 133 1/3% b) 100% c) 75% d) 50% e) none of these

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