# How do you determine whether xy=1/4 is an inverse or direct variation?

Sep 7, 2017

$x y = \frac{1}{4} \text{ represents inverse variation}$

#### Explanation:

$\text{the direct variation equation is }$

•color(white)(x)y=kxlarr" k is constant of variation"

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

$\text{the inverse variation equation is}$

•color(white)(x)y=k/x

$\Rightarrow k = x y$

$\text{thus "xy=1/4" represents inverse variation}$