Assume that y varies inversely as x, how do you write an inverse variation equation that relates x and y given y=-4 when x=16?

Oct 15, 2017

Answer:

$y = - \frac{64}{x}$

Explanation:

When y varies inversely as x, $y = \frac{k}{x}$, where k is some constant. By substituting $y = - 4$ and $x = 16$ we find that $- 4 = \frac{k}{16}$. Multiplying both sides by 16 gives $k = - 64$. Therefore, the answer is $y = - \frac{64}{x}$.