Question

Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.
(0,6)
(3, 0)
A.6
B.3
C.-2
D.2

Answer 1

Answer:  C.  -2

Explanation:

The average rate of change from x = 0 to x = 3 is exactly the same as the slope of the line through the two points (0,6) and (3,0)

m = slope

m = (y2 - y1)/(x2 - x1)

m = (0-6)/(3-0)

m = -6/3

m = -2

The average rate of change is -2. The negative result indicates the slope is going downhill as you move from left to right.