# If y varies inversely with x and y = 3 when x = 4, what is the value of y when x = 2?

Apr 22, 2016

$6$
The inverse relationship means that $y = \frac{a}{x}$ where $a$ is a constant.
$3 = \frac{a}{4}$
$\therefore a = 12$
When $x = 2$, $y = \frac{12}{2} = 6$