Final answer:
After calculating the changes in temperature, rising by 13°F between noon and 5 pm and then falling by 7°F from 5 pm to 10 pm from an initial temperature of 75°F, the final temperature at 10 pm was determined to be 81°F.
Step-by-step explanation:
To solve the question, we first consider the initial temperature at noon, which was given as 75°F. The temperature then rose by 13°F between noon and 5 pm. To find the temperature at 5 pm, we add 13°F to 75°F.
Temperature at noon = 75°F
Increase by 5 pm = 13°F
Temperature at 5 pm = 75°F + 13°F = 88°F
Next, the temperature fell 7°F from 5 pm to 10 pm. We subtract 7°F from the temperature at 5 pm to find the temperature at 10 pm.
Decrease by 10 pm = 7°F
Temperature at 10 pm = 88°F - 7°F = 81°F
Therefore, the temperature at 10 pm would be 81°F, which corresponds to option A.