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)

Question

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 A is warmer by 10°F.
City A is warmer by  10 degrees F .

City B is warmer by 10°F.
City B is warmer by  10 degrees F .

City A is warmer by 2°F.
City A is warmer by  2 degrees F .

City B is warmer by 2°F.
City B is warmer by  2 degrees F .

GPT-4o mini · Answer

To find out which city is warmer after 5 hours and the temperature difference, we can calculate the temperature in each city after the cold front comes in:

For City A:

Starting temperature: 70°F
Temperature change per hour: -5°F
Total temperature change after 5 hours: 5 hours * (-5°F/hour) = -25°F
Temperature after 5 hours: 70°F - 25°F = 45°F

For City B:

Starting temperature: 70°F
Temperature change per hour: -3°F
Total temperature change after 5 hours: 5 hours * (-3°F/hour) = -15°F
Temperature after 5 hours: 70°F - 15°F = 55°F

Now, let's compare the final temperatures:

City A: 45°F
City B: 55°F

City B is warmer.

Difference in temperatures: 55°F (City B) - 45°F (City A) = 10°F

So, the correct response is:

City B is warmer by 10°F.