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If p is inversely proportional to the square of q and p is 13 when q is 4, what is p when q is 2?

User Lis
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1 Answer

6 votes

Answer:

52

Explanation:

Here it's given that p is inversely proportional to the square of q. We can write this mathematically as ,


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

Let k be the constant of proportionalality .


\longrightarrow p = (k)/(q^2)

Again it's given that when p is 13 , q is 4 . On substituting this in the above equation we can find out the value of k , as ;


\longrightarrow 13 =(k)/(4^2)

Solve out for k ,


\longrightarrow k = 13 (16)

Multiply ,


\longrightarrow k = 208

Again when the value of q is 2 , we need to find out the value of p . So ,


\longrightarrow p =(k)/(q^2)

Substitute ,


\longrightarrow p =(208)/(2^2)\\


\longrightarrow p = (208)/(4)

Simplify,


\longrightarrow p = 52

This is the required answer.

User Ajpallares
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