# If x varies inversely as y and x = 2.5 when y = 40, how do you find y when x = 2?

Jan 14, 2017

32

#### Explanation:

Here x$\propto$y

$\Rightarrow x = k y$

$\Rightarrow 2.5 = 40 k$

$\Rightarrow k = \frac{2.5}{40}$

Again, x = k y

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

$y = \frac{2}{\frac{2.5}{40}} = 32$