# Suppose that y varies inversely with x. How do you write an equation for the inverse variation y=6 when x=8?

Jun 13, 2016

$x y = 48.$
Given that, $y \propto \left(\frac{1}{x}\right) .$
$\therefore x y = k$, $k =$ constant of variation.
Next, we use the condition that, when $x = 8 , y = 6.$
putting these values in the last eqn., we have $x y = 48$, which give us the desired eqn. $x y = 48.$