Question

Determine the constant of variation for the direct variation given.
(0,0) ,(3,12),(9,36)​

Answer 1

`r = 4`

Explanation:

Given: Direct Variation

(0,0) ,(3,12),(9,36)​

Required

Constant of Variation

Provided that the given data is a direct variation, the constant variation is represented by r.

r is calculated as thus;

`y = rx`

Divide both sides by x

`r = (y)/(x)`

Point (0,0) is the center of origin and cannot be used

When x = 3, y = 12

and

`r = (12)/(3)`

`r = 4`

When x = 3, y = 12

and

`r = (36)/(9)`

`r = 4`

Notice that the value of r remain constant in both cases; Hence, the constant of variation is;
`r = 4`