Question 668993: What is the rate of change for the interval between points A and C? Is it greater than, less than, or equal to the rate of change between points A and B?
The link to the graph -> http://postimage.org/image/kxofqwqap/
A. 4, greater than
B. 1/3, equal to
C. 1/4, less than
D. 3, equal to
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! postimage
point A is at the coordinates of (1,-3)
point B is at the coordinates of (2,0)
point C is at the coordinates of (3,5)
the average rate of change is the change in y divided by the change in x.
from A to B, that becomes (0 - (-3)) / (2 - 1) which becomes 3/1.
from A to C, that becomes (5 - (-3)) / (3 - 1) which becomes 8/2 which is the same as 4/1.
the average slope from A to C is equal to 4 while the average slope from A to B is equal to 3 so the average slope from A to C is more than the average slope from A to B.
based on the possible solutions to the problem, i would pick selection A.
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