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

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

Answer 1

After 5 hours, the temperature in City A would be 70°F - (5°F/hour * 5 hours) = 70°F - 25°F = 45°F.

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°F.
The correct response is:
City B is warmer by 10°F.

Answer 2

The temperature in City A is changing by -5°F per hour, and in City B, it is changing by -3°F per hour. After 5 hours, the temperature in City A will decrease by 5°F/hour × 5 hours = 25°F. The temperature in City B will decrease by 3°F/hour × 5 hours = 15°F.

Initial temperature in both cities = 70°F
Temperature in City A after 5 hours = 70°F - 25°F = 45°F
Temperature in City B after 5 hours = 70°F - 15°F = 55°F

Therefore, City B is warmer by 55°F - 45°F = 10°F.

Answer 3

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 City A and City B.

City A starts at 70°F and is changing by −5°F per hour. After 5 hours, the temperature in City A will be:

70°F + (-5°F/hour * 5 hours) = 70°F + (-25°F) = 45°F

City B also starts at 70°F but is changing by −3°F per hour. After 5 hours, the temperature in City B will be:

70°F + (-3°F/hour * 5 hours) = 70°F + (-15°F) = 55°F

Comparing the final temperatures, we see that City B is warmer than City A. The difference in their temperatures after 5 hours is:

Final temperature of City B - Final temperature of City A = 55°F - 45°F = 10°F

Therefore, the correct answer is: City B is warmer by 10°F.