# Assume that y varies inversely with x. If y = 8.8 when x = 2.4, how do you find x when y = 2.1?

Aug 5, 2016

$= 10.06$

#### Explanation:

$y = \frac{k}{x}$
or
$k = x y$
or
$k = \left(2.4\right) \left(8.8\right)$
or
$k = 21.12$
By putting the value $y = 2.1$ in the equation $y = \frac{k}{x}$
we get
$2.1 = \frac{21.12}{x}$
or
$x = \frac{21.12}{2.1}$
or
$= 10.06$