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If pp is inversely proportional to the square of qq, and pp is 22 when qq is 8, determine pp when qq is equal to 4.

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Given that p is inversely proportional to the square of q that implies:


p\propto(1)/(q^2)

Remove the sign of proportionality and put a proportionality constant k such that:


p=(k)/(q^2)

Given that when q is 8 then p is 22. So,


22=(k)/(8^2)\Rightarrow k=22*64=1408

Put k = 1408 and q = 4 in the equation to find the value of p:


p=(1408)/(4^2)=(1408)/(16)=88

Thus, the answer is 88.

User Jeffjenx
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