Question

Hi, I need help. I'm not the smartest person and algebra is pretty difficult for me.

If y varies inversely as x, find the constant of variation if y = 2 as x = -9.
A.) 4.5
B.) -18
C.) 18
D.) -4.5

Answer 1

Inverse variation : \(y=\dfrac{k}{x}\)

Answer 2

So if you're given \(y=2~,~ x = -9\), you plug these values in to find the value of k.

Answer 3

\[k= yx \implies k=(2)(-9)\]Now you know your constant of vairation.