# Assume that y varies inversely as x, how do you write an inverse variation equation that relates x and y given y=2 when x=20?

Apr 9, 2017

$y = \frac{40}{x}$

#### Explanation:

$y \propto \frac{1}{x}$

$y = \frac{k}{x}$ , k is a constant that you need to find.

Since you have values of y = 2 & x = 20,

2 = $\frac{k}{20}$

To find k,

$2 \cdot 20$ = $\frac{k}{20} \cdot 20$

k = 40

Hence, $y = \frac{40}{x}$