The temperature is dropping throughout the day as a cold front comes in. In city A, the temperature by -5*F per hour, and in City B the temperature is changing by -3*F per hour. If the temperature in both cities started at 70*F, which city is warmer, and what is the difference in their temperatures after 5 hours?
Options:
City B is warmer by 10*F.
City A is warmer by 2*F
City A is warmer by 10 F
City B is warmer by 2*F
The temperature in City A is decreasing by 5°F per hour, so after 5 hours, the temperature will be 70°F - (5°F/hour * 5 hours) = 70°F - 25°F = 45°F.
The temperature in City B is decreasing by 3°F per hour, so after 5 hours, the temperature will be 70°F - (3°F/hour * 5 hours) = 70°F - 15°F = 55°F.
Therefore, City B is warmer by 10°F (55°F - 45°F). The correct option is City B is warmer by 10°F.
To determine which city is warmer and find the difference in their temperatures after 5 hours, we can calculate the temperature in both cities after 5 hours.
For City A:
Starting temperature = 70°F
Change in temperature per hour = -5°F
Number of hours = 5
Temperature in City A after 5 hours = Starting temperature + (Change in temperature per hour × Number of hours)
Temperature in City A after 5 hours = 70°F + (-5°F × 5)
Temperature in City A after 5 hours = 70°F + (-25°F)
Temperature in City A after 5 hours = 45°F
For City B:
Starting temperature = 70°F
Change in temperature per hour = -3°F
Number of hours = 5
Temperature in City B after 5 hours = Starting temperature + (Change in temperature per hour × Number of hours)
Temperature in City B after 5 hours = 70°F + (-3°F × 5)
Temperature in City B after 5 hours = 70°F + (-15°F)
Temperature in City B after 5 hours = 55°F
Therefore, City B is warmer than City A by 10°F (55°F - 45°F). The correct option is City B 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 in each city after 5 hours.
City A: The temperature in City A is dropping by 5°F per hour. Starting from 70°F, after 5 hours, the temperature in City A would be 70°F - (5°F/hour * 5 hours) = 70°F - 25°F = 45°F.
City B: The temperature in City B is dropping by 3°F per hour. Starting from 70°F, after 5 hours, the temperature in City B would be 70°F - (3°F/hour * 5 hours) = 70°F - 15°F = 55°F.
Now, let's compare the temperatures in both cities:
City A: 45°F
City B: 55°F
Therefore, City B is warmer than City A by a difference of 10°F.
So, the correct option is: City B is warmer by 10°F.