Suppose $p$ and $q$ are inversely proportional. If $p=28$ when $q=7$, find the value of $p$ when $q=49$.
I know that inversely proportional means that the product of $p$ and $q$ is constant, so I can write an equation: $pq=k$. I can use the given values of $p$ and $q$ to find $k$: $28\cdot 7=k$, so $k=196$. Now I can plug in the new value of $q$ and solve for $p$: $p\cdot 49=196$, so $p=\frac{196}{49}=4$.

