Final answer:
To determine the correct average rate of change of the machine's lid-attaching process, one must compare the given options with the chart data (which is not provided). The option that matches the chart data will be the correct rate of lids attached over time.
Step-by-step explanation:
The question relates to the concept of average rate of change in a linear function, a fundamental topic in Mathematics. To calculate the average rate of change, we compare the change in the number of lids attached to the change in time. If we consider the provided options, we're looking for a rate that accurately represents the operation of the machine in the food processing plant.
Without the specific chart data, we can't calculate the exact rate, but we can analyze the given options. Based on typical understanding, it's unlikely that a machine would attach 8 lids every second as that would equate to 480 lids per minute, a very high rate for such a process. By assessing the remaining three options while considering plausibility:
- The machine attaches 20 lids every 8 seconds, which translates to 2.5 lids per second.
- The machine attaches 2 lids every 5 seconds, which is a rate of 0.4 lids per second.
- The machine attaches 8 lids every 10 seconds, or 0.8 lids per second.
Comparing these with the unrealistic rate of 8 lids per second, we can see that they offer more reasonable estimates for a food processing plant machinery. The student needs to select the option that aligns with the data from the chart to identify the correct average rate of change.