Question

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

Answer 1

Answer:

$r = 4$

Step-by-step 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

$r = \frac{y}{x}$

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

When x = 3, y = 12

and

$r = \frac{12}{3}$

$r = 4$

When x = 3, y = 12

and

$r = \frac{36}{9}$

$r = 4$

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