The temperature is dropping throughout the day as a cold front comes in in City A, the temperature is changing by -5P per hour, and in City B the temperature changing by -3'F per hour if the temperatures in both cites started at 70 P which city is warmer, and what is the difference in their temperatures after 5 hours? (1 point)
Octyamer by 10°F
Cay Al warmer by 10°F
O Cty Biswas by 2"
OCty is by 2P
After 5 hours, the temperature in City A will be:
70P - 5P/hour * 5 hours = 70P - 25P = 45P
The temperature in City B will be:
70°F - 3°F/hour * 5 hours = 70°F - 15°F = 55°F
Therefore, City B is warmer by 10°F. The difference in their temperatures after 5 hours is 10°F.
To find out which city is warmer and the difference in their temperatures after 5 hours, we'll need to calculate the final temperatures in both cities.
In City A, the temperature is changing by -5P per hour. So, after 5 hours, the temperature change would be: -5P/hour × 5 hours = -25P.
Therefore, the final temperature in City A would be 70P - 25P = 45P.
In City B, the temperature is changing by -3°F per hour. So, after 5 hours, the temperature change would be: -3°F/hour × 5 hours = -15°F.
Therefore, the final temperature in City B would be 70°F - 15°F = 55°F.
Hence, City A is warmer than City B by 10°F (45P - 55°F = -10°F).
To determine which city is warmer and calculate the difference in temperature after 5 hours, we need to consider the rate of temperature change in both cities.
City A: The temperature is changing by -5°P per hour. Since the initial temperature in City A is 70 P, after 5 hours, the temperature would have dropped by 5°P * 5 hours = 25°P. Therefore, the temperature in City A after 5 hours would be 70 P - 25°P = 45 P.
City B: The temperature is changing by -3°F per hour. Since the initial temperature in City B is 70 P, after 5 hours, the temperature would have dropped by 3°F * 5 hours = 15°F. Therefore, the temperature in City B after 5 hours would be 70 P - 15°F = 55 P.
Therefore, City B would be warmer after 5 hours. The difference in their temperatures would be 55 P - 45 P = 10 P.