The temperature is dropping throughout the day as a cold front comes in. In
City A, the temperature is changing by per hour, and in City B the
temperature is changing by per hour. If the temperatures in both cities
started at , which city is warmer, and what is the difference in their
temperatures after 5 hours? (1 point)
−5°F
−3°F
70°F
City B is warmer by 10°F.
City A is warmer by 10°F.
City A is warmer by 2°F.
City B is warmer by 2°F.
To determine which city is warmer, we need to compare the temperatures in both cities after 5 hours.
Given that the temperature in City A is changing by -5°F per hour, the temperature after 5 hours would be:
Initial temperature in City A + (temperature change per hour * number of hours)
= 70°F + (-5°F * 5 hours)
= 70°F + (-25°F)
= 45°F
Given that the temperature in City B is changing by -3°F per hour, the temperature after 5 hours would be:
Initial temperature in City B + (temperature change per hour * number of hours)
= 70°F + (-3°F * 5 hours)
= 70°F + (-15°F)
= 55°F
After 5 hours, City B is warmer by (55°F - 45°F) = 10°F.
Therefore, the correct answer is: City B is warmer by 10°F.