Question

Find the constant of variation for the relationship shown in the following table:

x 1 2 3 4
y 5 10 15 20




1

2

5

10

Answer 1

Constant variation is 5

Answer 2

ANSWER

The constant of variation is
`5`

EXPLANATION.

The constant of variation is the slope connect any two pairs of points.

Recall that the slope formula is given by,


`m=(y_2-y_1)/(x_2-y_1)`

For instance using the points
`(1,5)\:and\: (2,10)` will give the slope to be,


`m=(10-5)/(2-1)`


`m = (5)/(1)=5`

Therefore the constant of variation is

`5.`

The correct answer is C.