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

##### 1 Answer
Jun 7, 2015

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 $k = 4$