Answer
$y = 33$
Work Step by Step
First, we need to find the constant of variation for this exercise. We are given an $x$ value and a $y$ value. Plug these values into the formula for direct variation, $y = kx$, to find $k$, the constant of variation:
$15 = k(10)$
$\frac{15}{10}=k$
$k = \frac{3}{2}$
The constant of variation is $\frac{3}{2}$.
This means that the equation that model the variation is $y=\frac{3}{2}x$.
Thus, when $x=22$, the value of $y$ is:
$y = \frac{3}{2}(22)$
$y = \frac{66}{2}$
$y = 33$
