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 2°F.
City B is warmer by 2 degrees F .
City A is warmer by 2°F.
City A is warmer by 2 degrees F .
City A is warmer by 10°F.
City A is warmer by 10 degrees F .
City B is warmer by 10°F.
None of the given responses are correct.
To find the difference in temperature after 5 hours, we need to calculate the temperature difference in both cities after 5 hours.
In City A, the temperature is changing by −5°F per hour, so after 5 hours, the temperature will have decreased by 5 * 5 = 25°F. Therefore, the temperature in City A after 5 hours will be 70 - 25 = 45°F.
In City B, the temperature is changing by −3°F per hour, so after 5 hours, the temperature will have decreased by 3 * 5 = 15°F. Therefore, the temperature in City B after 5 hours will be 70 - 15 = 55°F.
The difference in temperature between City B and City A after 5 hours is 55 - 45 = 10°F.
Therefore, City B is warmer by 10°F.