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 10°F.
City B is warmer by 10 degrees F .
City A is warmer by 10°F.
City A 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 A is warmer by 2°F.
The temperature in City A is changing by -5°F per hour, which means that after 5 hours, the temperature in City A will be 70°F - (5°F/hour * 5 hours) = 70°F - 25°F = 45°F.
Similarly, the temperature in City B is changing by -3°F per hour, which means that after 5 hours, the temperature in City B will be 70°F - (3°F/hour * 5 hours) = 70°F - 15°F = 55°F.
Therefore, City B is warmer by 55°F - 45°F = 10°F.
To find out which city is warmer after 5 hours and the difference in their temperatures, we need to calculate the temperature change in each city.
In City A, the temperature is changing by -5°F per hour. So, after 5 hours, the temperature change in City A is (-5°F/hour) * (5 hours) = -25°F.
In City B, the temperature is changing by -3°F per hour. So, after 5 hours, the temperature change in City B is (-3°F/hour) * (5 hours) = -15°F.
To determine the final temperature in each city, we need to add the temperature change to the initial temperature of 70°F.
The final temperature in City A is 70°F + (-25°F) = 45°F.
The final temperature in City B is 70°F + (-15°F) = 55°F.
Therefore, City B is warmer than City A after 5 hours, with a temperature difference of 10°F.
The correct response is:
City B is warmer by 10°F.