Answer
$W=16$
Work Step by Step
Since $W$ is inversely proportional to $V$, $W=\frac{k}{V}$ where k is a constant.
We first find the value of k by substituting $W=20$ and $V=12$:
$k=WV=20(12)=240$
Therefore, the equation now becomes $W=\frac{240}{V}$
Now finding $W$ for $V=15$:
$W=\frac{240}{V}=\frac{240}{15}=16$
Therefore, for $V=15$, $W=16$.
