Answer:
C.
Step-by-step explanation:
We need to apply Mean Value theorem here.
We just need to calculate the average rate of change for each interval.
A) x=0 to x=4
We have the points (0,8) and (4,0) are the points that correspond to the endpoints of the given interval.
(8-0)/(0-4)
8/-4
-2
Not this choice
B) x=4 to x=8
We have the points (4,0) and (8,2) are the points that correspond to the endpoints of the given interval.
(2-0)/(8-4)
2/4
1/2
Not this choice
C) x=8 to x=12
We have the points (8,2) and (12,10) are the points that correspond to the endpoints of the given interval.
(10-2)/(12-8)
8/4
2
This one works.
D) x=12 to x=16
We have the points (12,10) and (16,1) are the points that correspond to the endpoints of the given interval.
(1-10)/(16-12)
-9/4
