Joint variation with a square root

Optional extension

The quantity \(y\) varies directly with \(m\) and inversely with \(\sqrt{t}\), and \(y=6\) when \(m=3,t=4\).

1. Write a relationship connecting \(y,m,t\).[2]
2. Find \(m\) when \(y=5,t=16\).[2]