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

Answer:

$Rate = 6$

$Rate = 10$

$Rate = 18$

$Rate = 162$

Step-by-step 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:

$Rate = \frac{y_2 - y_1}{x_2 - x_1}$

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:

$Rate = \frac{13 - 7}{2 - 1}$

$Rate = \frac{6}{1}$

$Rate = 6$

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:

$Rate = \frac{23 - 13}{3 - 2}$

$Rate = \frac{10}{1}$

$Rate = 10$

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:

$Rate = \frac{29 - 11}{3 - 2}$

$Rate = \frac{18}{1}$

$Rate = 18$

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:

$Rate = \frac{245 - 83}{5 - 4}$

$Rate = \frac{162}{1}$

$Rate = 162$