## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

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