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(2,6,10,-6,-10)
Part B: The average rate of change between the 2nd and 3rd point is
Select a Value(2,6,10,-6,-10)
Part B: The average rate of change between the 4th and 5th point is
Select a Value (6,18,162,-54,-18)

Answer 1

I hope this helps! :D

Answer 2

Part A: The average rate of change between the 2nd and 3rd point is 6

The average rate of change between the 4th and 5th point is 10

Part B: The average rate of change between the 2nd and 3rd point is 18

The average rate of change between the 4th and 5th point is 162

Explanation:

Part A:

The coordinates of the 2nd point is (1, 7)

coordinates of the 3rd point is (2, 13)

The rate of change equation is presented as follows;

`Rate \ of \ change =(y_2 - y_1)/(x_2 - x_1) =(13 - 7)/(2 - 1) = 6`

The rate of change between the 2nd and 3rd points = 6

The coordinates of the 3rd point is (2, 13)

coordinates of the 4th point is (3, 23)

The rate of change equation is presented as follows;

`Rate \ of \ change =(y_2 - y_1)/(x_2 - x_1) =(23 - 13)/(3 - 2) = 10`

The rate of change between the 3rd and 4th points = 10

Part B:

The rate of change between the 2nd and 3rd points is found as follows

2nd point = (2, 11)

3rd point = (3, 29)

`(29-11)/(3-2) = 18`

The rate of change between the 2nd and 3rd points = 18

The rate of change between the 4th and 5th points is found as follows

4th point = (4, 83)

5th point = (5, 245)

`(245-83)/(5-4) = 162`

The rate of change between the 4th and 5th points = 162.