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 amount Number of Minutes is 4,6,12,14 and Number of Items Packed is 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 rate of change can be found by calculating the difference in the number of items packed for each pair of consecutive minutes. The rate of change is the same for each pair of minutes.
For the first pair of minutes (4 and 6), the difference in the number of items packed is 26 - 20 = 6.
For the second pair of minutes (6 and 12), the difference in the number of items packed is 44 - 26 = 18.
For the third pair of minutes (12 and 14), the difference in the number of items packed is 50 - 44 = 6.
Since the rate of change is the same for each pair of minutes, we can conclude that the rate of change of the number of items packed in boxes with respect to the number of minutes is 6 items per minute.