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if p varies inversly as the square of q and p = 3 when q = 4, find p when q = 16​

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Problem:

If p varies inversely as the square of q and p = 3 when q = 4, find p when q = 16​

Solution:

k = constant of variation

p = k/q²

3 = k/4²

3 = k/16

3(16) = k

k = 48

p = k/q²

p = 48/16²

p = 48/256

p = 3/16

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