#2.
A worker is packing items in a boxes. The table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time.
Number of Minutes
4
6
12
14
Number of Items Packed
20
26
44
50
Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?
The worker packed 3 items in boxes per minute
The worker packed 8 items in boxes per minute
The worker packed 12 items in boxes per minute
The worker packed 16 items in boxes per minute
To find the rate of change, we can look at the difference in the number of items packed divided by the difference in the number of minutes.
Starting with the first two points (4 minutes and 20 items, and 6 minutes and 26 items), the difference in the number of items is 26 - 20 = 6. The difference in the number of minutes is 6 - 4 = 2.
So, the rate of change is 6 items / 2 minutes = 3 items per minute.
Therefore, the statement "The worker packed 3 items in boxes per minute" correctly describes the rate of change.