Which two points in the graphed function have an average rate of change of 5?

First of all, a positive average rate of change means that the function is increasing, so the answer can only be A->B or B->C.

The average rate of change is defined as

i.e. as the ratio between the vertical and horizontal gain.

In order to go from point A to point B, you gain 1 unit horizontally and 5 units vertically. So, the average rate of change is 5/1=5.

In order to go from point B to point C, you gain 1 unit horizontally and 3 units vertically. So, the average rate of change is 3/1=3.

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step-by-step explanation:

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

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