Question

Determine the constant of variation for the direct variation given.

A. 1/2
B. 1
C. 2

Answer 1

Answer: C: 2

Explanation:

Answer 2

The constant of variation for the direct variation is 2.

Solution-

The given line passes through the origin (0, 0) and (3, 6)

The constant of variation for the direct variation means the slope of the line.

The slope can be calculated from the the two coordinates that are on the lines, i.e (0, 0) and (3, 6)

`\text{Slope}=m=(y_2-y_1)/(x_2-x_1)`

Here,

x₁ = 0

y₁ = 0

x₂ = 3

y₂ = 6

Putting the values,

`m=(6-0)/(3-0)`

`=(6)/(3)`

`=2`

Therefore, the constant of variation for the direct variation is 2.