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 A is warmer by 2°F.
City A is warmer by 2 degrees F .
City B is warmer by 2°F.
City B is warmer by 2 degrees F .
City B is warmer by 10°F
City B is warmer by 10°F.
City A is warmer by 10°F.
To determine which city is warmer after 5 hours and find the difference in their temperatures, we need to calculate the temperatures in each city after 5 hours.
Starting with City A:
The temperature is changing by -5°F per hour. So after 5 hours, the temperature change is: -5°F * 5 = -25°F.
Starting temperature in City A is 70°F, so after 5 hours, the temperature in City A would be: 70°F + (-25°F) = 45°F.
Now let's calculate the temperature in City B:
The temperature is changing by -3°F per hour. So after 5 hours, the temperature change is: -3°F * 5 = -15°F.
Starting temperature in City B is also 70°F, so after 5 hours, the temperature in City B would be: 70°F + (-15°F) = 55°F.
Therefore, City A has a temperature of 45°F after 5 hours, while City B has a temperature of 55°F. The difference in their temperatures is: 55°F - 45°F = 10°F.
So the correct answer is:
City A is warmer by 10°F.