# Is x = 3/y an inverse or direct variation?

May 21, 2018

Inverse

#### Explanation:

Directly proportional means that $y = k x$ for $k$ constant, while inversely proportional means that $y = \frac{k}{x}$ for $k$ constant.

Given: $x = \frac{3}{y}$.

$\therefore x y = 3$

$y = \frac{3}{x}$.

Comparing now $y = \frac{k}{x}$ and $y = \frac{3}{x}$, we see easily that $k = 3$, and this is an inverse variation.