Final answer:
The average rate of change in temperature between 3 o'clock and 8 o'clock is calculated by subtracting the temperatures at the two times and dividing by the change in time, resulting in an average decrease of 3 degrees per hour.
Step-by-step explanation:
The student asks about the average rate of change of temperature between 3 o'clock and 8 o'clock.
To find the average rate of change, we use the formula:
Average rate of change = (Change in value) / (Change in time)
In this case, the temperature at 3 o'clock is 65 degrees and at 8 o'clock it is 50 degrees. Therefore, the change in temperature is:
65 degrees - 50 degrees = 15 degrees
The change in time from 3 o'clock to 8 o'clock is:
8 hours - 3 hours = 5 hours
So, the average rate of change is:
15 degrees / 5 hours = 3 degrees per hour.
This means the temperature dropped by an average of 3 degrees each hour between 3 o'clock and 8 o'clock.