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

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.

Answer 1

To determine which city is warmer after 5 hours and the temperature difference, we can calculate the temperatures in each city after 5 hours.

City A:

• Starting temperature: 70°F
• Temperature change: −5°F per hour
• After 5 hours: \[ \text{Temperature in City A} = 70°F + (−5°F \times 5) = 70°F - 25°F = 45°F \]

City B:

• Starting temperature: 70°F
• Temperature change: −3°F per hour
• After 5 hours: \[ \text{Temperature in City B} = 70°F + (−3°F \times 5) = 70°F - 15°F = 55°F \]

Now we compare the temperatures:

• Temperature in City A: 45°F
• Temperature in City B: 55°F

City B is warmer than City A.

To find the difference in their temperatures: \[ \text{Difference} = \text{Temperature in City B} - \text{Temperature in City A} = 55°F - 45°F = 10°F \]

Therefore, the responses are: City B is warmer by 10°F.

So, the correct response is:

• City B is warmer by 10°F.
• City B is warmer by 10 degrees F. (Both mean the same, so either would be acceptable.)