Final answer:
To find the temperature at 5 AM, calculate the total decrease in temperature by multiplying the hourly decrease (5°C) by the number of hours from 4 PM to 5 AM (13 hours), resulting in a 65°C drop. Then, subtract this from the initial temperature of 52°C to get -13°C.
Step-by-step explanation:
The student has asked about calculating the temperature after a certain amount of time has passed with a steady decrease in temperature. The temperature at 4:00 PM was 52°C, and it dropped 5°C per hour. To find the temperature at 5 AM, we need to calculate how many hours have passed from 4:00 PM to 5 AM and then multiply this number by the rate of decrease.
From 4:00 PM to 5 AM is 13 hours. If the temperature drops 5°C every hour, the total drop in temperature over 13 hours is:
5°C/hour * 13 hours = 65°C
To find the temperature at 5 AM, we subtract this decrease from the initial temperature:
52°C - 65°C = -13°C.
Therefore, the temperature at 5 AM is -13°C.