Question

Part A: The average rate of change between the 2nd and 3rd point is Select a Value Part A: The average rate of change between the 3rd and 4th point is Select a Value Part B: The average rate of change between the 2nd and 3rd point is Select a Value Part B: The average rate of change between the 4th and 5th point is Select a Value

Answer 1

`Rate = 6`

`Rate = 10`

`Rate = 18`

`Rate = 162`

Explanation:

Given

See attachment for table

Solving (a): Rate of change between 2nd and 3rd point on A

The rate of change is calculated as:

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

In table A, the 2nd and 3rd point is:

`(x_1,y_1) =(1,7)`

`(x_2,y_2) =(2,13)`

So, the average rate of change is:

`Rate = (13 - 7)/(2 - 1)`

`Rate = (6)/(1)`

`Rate = 6`

Solving (b): Rate of change between 3rd and 4th point on A

In table A, the 3rd and 4th point is:

`(x_1,y_1) =(2,13)`

`(x_2,y_2) =(3,23)`

So, the average rate of change is:

`Rate = (23 - 13)/(3 - 2)`

`Rate = (10)/(1)`

`Rate = 10`

Solving (c): Rate of change between 2nd and 3rd point on B

In table B, the 2nd and 3rd point is:

`(x_1,y_1) =(2,11)`

`(x_2,y_2) =(3,29)`

So, the average rate of change is:

`Rate = (29 - 11)/(3 - 2)`

`Rate = (18)/(1)`

`Rate = 18`

Solving (d): Rate of change between 4th and 5th point on B

In table B, the 4th and 5th point is:

`(x_1,y_1) =(4,83)`

`(x_2,y_2) =(5,245)`

So, the average rate of change is:

`Rate = (245 - 83)/(5 - 4)`

`Rate = (162)/(1)`

`Rate = 162`