Answer
$y=\displaystyle \frac{0.5xw^{2}}{z}$
Work Step by Step
If y varies jointly as $x$ and $w^{2}, $and inversely as $z$ then
$ y=\displaystyle \frac{kxw^{2}}{z},\quad$ ... for some constant k.
Given
$y=150$ when $x=6,w=10,$ and $z=2.$
$150=\displaystyle \frac{k\cdot 6\cdot 10^{2}}{2}$
$150=300k$
$k=0.5$
So,
$y=\displaystyle \frac{0.5xw^{2}}{z}$
