To determine the rate of change of the number of items packed in boxes with respect to time, we need to look for the linear relationship between the two variables (number of items packed and time in minutes). The rate of change can be calculated as the ratio of the change in the number of items packed to the change in time.
If you have the specific data from the table (e.g., time in minutes and corresponding items packed), the rate of change can be calculated using the formula:
\[ \text{Rate of Change} = \frac{\text{Change in items packed}}{\text{Change in time (minutes)}} \]
This gives you the number of items packed per minute.
For example, if the worker packs 0 items in 0 minutes and 20 items in 10 minutes, the change in items packed is \(20 - 0 = 20\) items, and the change in time is \(10 - 0 = 10\) minutes. Therefore, the rate of change would be:
\[ \text{Rate of Change} = \frac{20}{10} = 2 \text{ items per minute.} \]
Let me know if you have the specific data from the table, and I can help you analyze it further!
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