Question

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

Answer 1

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

$A_v=\dfrac{f(b)-f(a)}{b-a}.$

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

$A_v=\dfrac{f(4)-f(2)}{4-2}=\dfrac{64-9}{4-2}=\dfrac{55}{2}=27.5.$

Thus, the required average rate of change is 27.5.

Option (B) is CORRECT.

Answer 2

x2 =9

x4 =64

64-9 =55

4-2 = 2

55/2 = 27.5

average rate is 27.5, B is the answer