Answer
$k=14$, $y=14x$
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 $y=7$ when $x=\frac{1}{2}$, then we know that $7=\frac{1}{2}k$. Multiply both sides by 2.
$k=7\times2=14$
Therefore, the constant of variation is $k=14$ and the direct variation equation is $y=14x$.
