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

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

jhannybean · Answer

Inverse variation : $y=\dfrac{k}{x}$

jhannybean · Answer

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

jhannybean · Answer

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