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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

User DYoung
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1 Answer

5 votes

Answer:


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

Part A: The average rate of change between the 2nd and 3rd point is Select a Value-example-1
User Christophe Smet
by
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