To determine the appropriate unit for the rate of change, we first need to analyze the coordinates of points A and B.
The coordinates of point A are (2, 1778) and for point B, they are (3, 2667). This translates to:
- At the x-value of 2, 1778 sets were produced.
- At the x-value of 3, 2667 sets were produced.
Here, the x-value likely represents time in days (i.e., 2 days and 3 days), while the y-values represent the number of sets produced.
To find the slope (rate of change), we compute it as follows:
\[ \text{slope} = \frac{\text{change in y}}{\text{change in x}} = \frac{2667 - 1778}{3 - 2} = \frac{889}{1} = 889 \]
Now we interpret what this slope represents. It indicates that as we move from 2 days to 3 days (a change of 1 day), the production increased by 889 sets in that time frame.
Therefore, the unit for the rate of change (889 sets per 1 day) is:
A: sets produced per day.
So the correct answer is A.