# How do you write an inverse variation equation given y=3 when x=-10?

Sep 7, 2017

See below

#### Explanation:

For inverse variation:

$y = \frac{k}{x} ^ n$ where $k$ is the constant of variation.

From example:

$3 = \frac{k}{10} ^ 1$

Constant of variation $k = 30$

So equation would be:

$y = \frac{30}{x} ^ n$