The temperature is dropping throughout the day as a cold front comes in City A. The temperature is changing by -5 F per hour and in City B the temperature is changing by -3 F 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
A. City B is warmer by 10 F
B. City A is warmer by 10 F
C. City B is warmer by 2 F
D. City A is warmer by 2 F
The temperature in City A is changing by -5 F per hour for 5 hours, so the total change in temperature in City A is -5 F/hour * 5 hours = -25 F.
The temperature in City B is changing by -3 F per hour for 5 hours, so the total change in temperature in City B is -3 F/hour * 5 hours = -15 F.
Initially, both cities start at 70 F. After 5 hours, the temperature in City A would be 70 F - 25 F = 45 F.
After 5 hours, the temperature in City B would be 70 F - 15 F = 55 F.
The difference in their temperatures after 5 hours is 55 F - 45 F = 10 F.
Therefore, the correct answer is:
A. City B is warmer by 10 F.
To answer this question, let's calculate the temperatures in both cities after 5 hours:
In City A, the temperature is dropping by -5 F per hour. Therefore, after 5 hours, the temperature would be:
70 - (5 * 5) = 70 - 25 = 45 F
In City B, the temperature is dropping by -3 F per hour. Therefore, after 5 hours, the temperature would be:
70 - (3 * 5) = 70 - 15 = 55 F
Therefore, the temperature in City A after 5 hours is 45 F, and the temperature in City B after 5 hours is 55 F.
To find the difference in their temperatures after 5 hours, we subtract the temperature in City A from the temperature in City B:
55 - 45 = 10 F
So, the correct answer is A. City B is warmer by 10 F.
To determine which city is warmer and calculate the temperature difference after 5 hours, we need to understand how the temperatures are changing in each city.
In City A, the temperature is dropping by -5°F per hour. Starting at 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
In City B, the temperature is dropping by -3°F per hour. Starting at 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, to determine which city is warmer, we compare the temperature in each city after 5 hours. In this case, City B has a higher temperature (55°F) compared to City A (45°F). Therefore, City B is warmer than City A.
The temperature difference between the two cities after 5 hours is given by:
Temperature in City B - Temperature in City A = 55°F - 45°F = 10°F
So, the correct answer is:
A. City B is warmer by 10°F.