Answer
Yes, this implies p varies directly with q.
Work Step by Step
If q varies directly with p, then we know q = p*x (by definition), where x is a non-zero value.
Then,
$ q = p*x$
$q* 1/x = p * x * 1/x$
$q * 1/x = p$
As x is a non-zero value, we can say that p varies directly with q.
