# Y varies inversely as the square of x when x=6 y=4, how do you find y when x=2?

May 29, 2017

$y = 36$

#### Explanation:

$y$ varies inversely as the square of $x$ means:

$y = \frac{k}{x} ^ 2$

Solving for $k$:

$k = {x}^{2} y$

$k = {\left(6\right)}^{2} \left(4\right)$

$k =$

To find $y$ when $x = 2$, we go back to the orinal equation:

$y = \frac{k}{2} ^ 2$

$y = {\left(6\right)}^{2} \frac{4}{4}$

$y = 36$