Answer:
Step-by-step explanation:
Given:
The attachment completes the question
From the attachment, the slope of the line was calculated as:
This step is inaccurate because the slope of a line is calculated using
Which gives
The line equation is then calculated using:
Substitute values for m, x1 and y1
Open bracket
Make y the subject
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.