# How do you write an inverse variation equation that relates x and y when you assume that y varies inversely as x given that if y= -8.5, when x=6, find y when x= -2.5?

Jun 29, 2015

When $x = - 2.5$, $y = 20.4$.

#### Explanation:

We know that

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

$k = x y$

If $x = 6$ and $y = - 8.5$,

k = 6 × (-8.5) = -51. So

$y = \frac{- 51}{x}$

If $x = - 2.5$,

$y = \frac{- 51}{- 2.5} = 20.4$