Question

Which functions have an additive rate of change of 3? Select TWO options

Answer 1

Answer: it’s A and E

First and last one

Explanation:

Answer 2

Second table.

Explanation:

A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.

The additive rate of change is determined using the slope formula,

`m = (y_2-y_1)/(x_2-x_1)`

From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.

`m = ( - 9- - 3)/(4-2) = - 3`

For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.

The additive rate of change of this table is

`m = ( - 1 - - 4)/(3 - 1) = 3`

Therefore the second table has an additive rate of change of 3.