Question

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

Answer 1

It's the number times 4 so 0 times 4 is 0. 3 times 4 is 12. 9 x 4 is 36.

Answer 2

c = 4

Explanation:

The given points are

`(0,0);(3,12);(9,36)`

Notice that each coordinate was increased by a factor of 3,

`3 * 3=9\\12 * 3= 36`

Then, we divide the vertical variation by the horizontal variation

`c=(36-12)/(9-3)=(24)/(6)\\ c=4`

Therefore, the constant of variation is 4.