Answer:
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
Step-by-step 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;
[tex]Rate \ of \ change =\frac{y_2 - y_1}{x_2 - x_1} =\frac{13 - 7}{2 - 1} = 6[/tex]
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;
[tex]Rate \ of \ change =\frac{y_2 - y_1}{x_2 - x_1} =\frac{23 - 13}{3 - 2} = 10[/tex]
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)
[tex]\frac{29-11}{3-2} = 18[/tex]
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)
[tex]\frac{245-83}{5-4} = 162[/tex]
The rate of change between the 4th and 5th points = 162.
