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At 3:00 pm you light a fire in the fireplace, the temperature is 61° F. At 11:00 pm, the temperature is 85° F. What is the average rate of change? Round to the nearest whole degree.

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Final answer:

The average rate of change in temperature from 3:00 pm to 11:00 pm is 3° F per hour, rounded to the nearest whole degree.

Step-by-step explanation:

The student asks about the average rate of change of temperature over a period of time. The temperature at 3:00 pm is 61° F and at 11:00 pm it is 85° F. The time difference here is 8 hours. To find the average rate of change, we subtract the initial temperature from the final temperature and divide by the total number of hours.

Average rate of change = (Final temperature - Initial temperature) / Time duration
Average rate of change = (85° F - 61° F) / 8 hours
Average rate of change = 24° F / 8 hours
Average rate of change = 3° F/hour (rounded to the nearest whole degree)

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