# If y=15 when x=-2, how do you find y when x=3 given y varies inversely as x?

Feb 19, 2017

$y = \frac{- 30}{x}$

#### Explanation:

Set $y = k \times \frac{1}{x} \text{ "->" } y = \frac{k}{x}$

Initial condition: $15 = \frac{k}{- 2}$

Multiply both sides by $\left(- 2\right)$

$k = - 30$ giving:

$y = \frac{- 30}{x}$