A worker is packing items into 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
To find the rate at which the worker is packing items, we need to calculate the change in the number of items per minute.
For the first time interval (4 to 6 minutes), the change in the number of items is 26 - 20 = 6 items. The change in time is 6 - 4 = 2 minutes. So the rate of packing during this interval is:
Rate = (Change in items) / (Change in time)
Rate = 6 items / 2 minutes
Rate = 3 items/minute
For the second time interval (6 to 12 minutes), the change in the number of items is 44 - 26 = 18 items. The change in time is 12 - 6 = 6 minutes. So the rate of packing during this interval is:
Rate = (Change in items) / (Change in time)
Rate = 18 items / 6 minutes
Rate = 3 items/minute
For the third time interval (12 to 14 minutes), the change in the number of items is 50 - 44 = 6 items. The change in time is 14 - 12 = 2 minutes. So the rate of packing during this interval is:
Rate = (Change in items) / (Change in time)
Rate = 6 items / 2 minutes
Rate = 3 items/minute
From the calculations above, we can see that the rate at which the worker is packing items is constant at 3 items per minute.