The temperature is dropping throughout the day as a cold front comes in. In City A, the temperature is changing by −5°F per hour, and in City B the temperature is changing by −3°F per hour. If the temperatures in both cities started at 70°F , which city is warmer, and what is the difference in their temperatures after 5 hours?(1 point) Responses City B is warmer by 10°F. City B is warmer by 10 degrees F . City B is warmer by 2°F. City B is warmer by 2 degrees F . City A is warmer by 10°F. City A is warmer by 10 degrees F . City A is warmer by 2°F.
City A is warmer by 10°F.
In City A, the temperature is changing by −5°F per hour, so after 5 hours, the temperature in City A would be:
70°F + (-5°F/hour * 5 hours) = 70°F - 25°F = 45°F
In City B, the temperature is changing by −3°F per hour, so after 5 hours, the temperature in City B would be:
70°F + (-3°F/hour * 5 hours) = 70°F - 15°F = 55°F
Therefore, City B is warmer by 10 degrees Fahrenheit.
So the correct answer is: City B is warmer by 10°F.
To find out which city is warmer and the difference in their temperatures after 5 hours, we need to calculate the final temperatures of both cities.
City A: The temperature is changing by -5°F per hour for 5 hours.
Starting at 70°F, the temperature after 5 hours will be:
70°F + (-5°F/hour * 5 hours) = 70°F + (-25°F) = 45°F
City B: The temperature is changing by -3°F per hour for 5 hours.
Starting at 70°F, the temperature after 5 hours will be:
70°F + (-3°F/hour * 5 hours) = 70°F + (-15°F) = 55°F
From the calculations, we can see that City A has a final temperature of 45°F, while City B has a final temperature of 55°F.
Therefore, City B is warmer than City A by 10°F.