Answer
$k=33$, $y=33x$
Work Step by Step
If y varies directly as x, we know that the variables x and y can be related by the function $y=kx$, where k is the constant of proportionality.
If $y=11$ when $x=\frac{1}{3}$, then we know that $11=\frac{1}{3}k$. Multiply both sides by 3.
$k=11\times3=33$
Therefore, the constant of variation is $k=33$ and the direct variation equation is $y=33x$.
