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What is the average rate of change for this function for the interval from x=2 to x=4

What is the average rate of change for this function for the interval from x=2 to-example-1

2 Answers

7 votes

Answer: The correct option is (B) 27.5.

Step-by-step explanation: We are given to find the average rate of change of the function described in the table for the interval x = 2 to x = 4.

We know that

the average rate of change of a function y = f(x) for the interval x = a to x = b is given by


A_v=(f(b)-f(a))/(b-a).

From the table, we note that for the given function

f(2) = 9 and f(4) = 64.

Therefore, the average rate of change of the given function for the interval x = 2 to x = 4 is


A_v=(f(4)-f(2))/(4-2)=(64-9)/(4-2)=(55)/(2)=27.5.

Thus, the required average rate of change is 27.5.

Option (B) is CORRECT.

User Kxhitiz
by
8.0k points
4 votes

x2 =9

x4 =64

64-9 =55

4-2 = 2

55/2 = 27.5

average rate is 27.5, B is the answer

User Gulsen
by
8.3k points

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