$y$ varies directly as the square root of $x$ and $y=11$ when $x=4$.  

1. Express $y$ as a function of $x$.

   Step (a):

   $y=k\sqrt{x}$

   Use the given values of $x$ and $y$ to solve for the value of $k$.

2. What is the value of $x$ when $y=44$?