Question

If the point (6,3) lies on the graph of a direct variation, what is the constant of variation?

Answer 1

`k = 0.5`

Explanation:

Given

`(x,y) = (6,3)`

Required

Determine the constant of variation

Since it is a direct variation, the following relationship exists:

`y = kx`

Where k represents the constant.

Substitute 6 for x and 3 for y

`3 = k * 6`

`3 = 6k`

Make k the subject

`k = (3)/(6)`

`k = 0.5`

Hence, the constant of variation is 0.5