Question

Q varies inversely as the square of p and q =36 when p =7. Find Q when p =6

Answer 1

Answer:

The value of Q when p=6 is;

$Q=42$

Explanation:

Given that Q varies inversely as the square of p;

$\begin{gathered} Q\propto\frac{1}{p} \\ Q=\frac{k}{p} \\ k=Qp \end{gathered}$

Where k is the constant of proportionality.

Given;

Q =36 when p =7.

Let's substitute the given values to determine the value of k;

$\begin{gathered} k=Qp \\ k=36\times7 \\ k=252 \end{gathered}$

So, when p =6​, Q will be;

$\begin{gathered} Q=\frac{k}{p}=\frac{252}{6} \\ Q=42 \end{gathered}$

Therefore, the value of Q when p=6 is;

$Q=42$