22. Suppose that y varies inversely with x and that y=4 when x=6. What is an equation for the inverse variation?

A. Y = 6/4x

B. Y = 24/x

C. Y = 2/3 x

D. Y = x/24

To solve this problem you must apply the proccedure shown below:

1. You must find the constant of variation k, as below:

2. You have that y varies inversely with x and that y=4 when x=6, therefore:

y=k/x

3. Solve for k:

k=yx

k = (4) (6)

k=24

3. Therefore, you have:

y=24/x

The answer is y=24/x