Answer:
B. points A and B
Explanation:
"Rate of change" is just a fancy name for slope.
The question asks for points on the graph having a slope of 5. We know a slope of 5 is a positive (goes up from left to right) and it's quite steep.
By looking at the graph, we see that to have a slope of 5, it has to take place in the first half of the graph.
Let's look at the possible options:
A. Points D and F: From point D to point F, you're going down, so the slope is negative. NO
B. Points A and B: goes up, pretty steep. Let's calculate the slope.
Point A: (2,1), Point B: (3,6)
Slope = (6 - 1) / (3 - 2) = 5 / 1 = 5
We found it!
C. Points B and C: goes up, pretty steep too. Let's calculate the slope:
Point B: (3,6) , Point C: (4,9)
Slope = (9 - 6) / (4 - 3) = 3 / 1 = 3, NO, not the slope we're looking for
D. Points C and E: goes down, NO, not what we want.