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 A is warmer by 10°F.
To find out which city is warmer and the difference in their temperatures after 5 hours, we need to calculate the temperature change in each city over the 5 hour period.
For City A:
The temperature is changing by −5°F per hour.
So, in 5 hours, the temperature change would be: −5°F * 5 hours = −25°F.
For City B:
The temperature is changing by −3°F per hour.
So, in 5 hours, the temperature change would be: −3°F * 5 hours = −15°F.
To find the final temperature in each city, we need to add the temperature change to the initial temperature of 70°F.
For City A:
Final temperature in City A = 70°F + (−25°F) = 45°F.
For City B:
Final temperature in City B = 70°F + (−15°F) = 55°F.
Now we can compare the temperatures to determine which city is warmer.
City B has a final temperature of 55°F and City A has a final temperature of 45°F.
Therefore, City B is warmer by 10°F compared to City A.
To find out which city is warmer after 5 hours, we need to calculate the final temperature in both cities.
In City A, the temperature is changing by -5°F per hour. So after 5 hours, the temperature will be:
70°F + (-5°F × 5 hours) = 70°F - 25°F = 45°F.
In City B, the temperature is changing by -3°F per hour. So after 5 hours, the temperature will be:
70°F + (-3°F × 5 hours) = 70°F - 15°F = 55°F.
Therefore, City B is warmer by 10°F, and the difference in their temperatures after 5 hours is 10°F. So the correct answer is:
City B is warmer by 10°F.