Final answer:
The interval of time with the greatest average rate of change at the butterfly exhibit is from 10:00 AM - 11:00 AM.
Step-by-step explanation:
The question is asking for the interval of time during which the average rate of change was the greatest at the local zoo's butterfly exhibit. To determine this, we need to compare the rates of change for different intervals. Since the options are given in hours, we can use the concept of average rate of change to calculate the change in number of butterfly visits per hour.
Let's analyze the options:
- a) 9:00 AM - 10:00 AM
- b) 10:00 AM – 11:00 AM
To calculate the average rate of change, we need to find the difference in butterfly visits between the start and end times of each interval. The interval with the greatest difference will have the greatest average rate of change.
Let's assume that the butterfly visits were as follows:
- 9:00 AM - 10:00 AM: 50 visits
- 10:00 AM – 11:00 AM: 100 visits
The difference in butterfly visits for the first interval is 50 visits, and for the second interval, it is 100 visits. Therefore, the interval of time with the greatest average rate of change is b) 10:00 AM – 11:00 AM, as it has a higher difference in butterfly visits compared to the other option a) 9:00 AM - 10:00 AM.