Answered

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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.

Sagot :

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

[tex]p\propto\frac{1}{q^2}[/tex]

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

[tex]p=\frac{k}{q^2}[/tex]

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

[tex]22=\frac{k}{8^2}\Rightarrow k=22\times64=1408[/tex]

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

[tex]p=\frac{1408}{4^2}=\frac{1408}{16}=88[/tex]

Thus, the answer is 88.

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