# If y varies directly as x, how do you find the constant of variation if y=32 when x=8?

If $y$ varies directly as $x$ then $y = k x$ for some constant $k$
Substituting $y = 32$ and $x = 8$ into this we get
$32 = k \cdot 8$
Divide both sides by $8$ to get $k = 4$