Answer
$x~~~~~~~~~~~~~~~~~~y=kx^n$
$2~~~~~~~~~~~~~~~~~~~~~~4$
$4~~~~~~~~~~~~~~~~~~~~~32$
$6~~~~~~~~~~~~~~~~~~~~108$
$8~~~~~~~~~~~~~~~~~~~~256$
$10~~~~~~~~~~~~~~~~~~500$
Work Step by Step
$y=kx^n$
$k=\frac{1}{2}$ and $n=3$
$y=\frac{1}{2}x^3$
$x=2$:
$y=\frac{1}{2}·2^3=4$
$x=4$:
$y=\frac{1}{2}·4^3=32$
$x=6$:
$y=\frac{1}{2}·6^3=108$
$x=8$:
$y=\frac{1}{2}·8^3=256$
$x=10$:
$y=\frac{1}{2}·10^3=500$
