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)

To determine which city is warmer after 5 hours, we need to calculate the temperature in each city after 5 hours of cooling.

City A:

• Initial temperature: 70°F
• Change in temperature: -5°F per hour
• After 5 hours: \[ 70°F + (-5°F \times 5) = 70°F - 25°F = 45°F \]

City B:

• Initial temperature: 70°F
• Change in temperature: -3°F per hour
• After 5 hours: \[ 70°F + (-3°F \times 5) = 70°F - 15°F = 55°F \]

Now we compare the temperatures:

• City A: 45°F
• City B: 55°F

City B is warmer than City A.

To find the difference in temperatures: \[ 55°F - 45°F = 10°F \]

So, the correct response is: City B is warmer by 10°F.