#### Answer

variation constant $=k=44$
equation of variation: $y=\frac{44}{x}$

#### Work Step by Step

$y$ varies inversely as $x$ so the variation is inverse.
The equation of an inverse variation is of the form $y=\frac{k}{x}$ where $k$ is the constant of variation.
To find the value of $k$ substitute the given values of $x$ and $y$ into $y=\frac{k}{x}$ to obtain:
$$y=\frac{k}{x}
\\11=\frac{k}{4}
\\4(11) = k
\\44=k$$
Thus, the equation of the variation is $y=\frac{44}{x}$.