Answer
$56$ inches
Work Step by Step
If W varies directly with S, then $W=kS$ for some constant k.
Given $W=16.8$ when $S=150$, we find k:
$16.8=k\cdot 150$
$k=\displaystyle \frac{16.8}{150}=0.112$
When S=500 inches,
$W=0.112(500)=56$ inches