Answer
variation constant $=k=6$
equation: $y=6x$
Work Step by Step
RECALL:
When $y$ varies directly as $x$, the equation that represents the variation is of the form $y=kx$ where $k$ is the constant of variation.
Find the constant of variation by substituting the given values into the equation $y=kx$ to obtain:
$$y=kx
\\30=k(5)
\\\frac{30}{5}=\frac{k(5)}{5}
\\6=k$$
Thus, the equation of the direct variation is:
$$y=6x$$
