Question

What is the rate of change of the linear relationship modeled in the table?

x y
1 2
3 5
5 8
7 11

Answer 1

As x increases by 2, y increases by 3, so the rate = change in y/change in x = 3/2 = 1.5

Answer 2

Answer:
`(3)/(2)`

Explanation:

The average rate of change of a linear function (the slope) is constant.

The rate of change of the linear relationship=
`\frac{\text{change in y}}{\text{change in x}}`

The rate of change from x=1 to x=7

=
`(11-2)/(7-1)=(9)/(6)=(3)/(2)`

Similarly you can check the rate of change for every interval, it would be

`(3)/(2)`.