The temperature is dropping throughout the day as a cold front comes an in City A the temperature is changing by -6°F per hour, and in City B the temperature is changing by-3' per hour if the temperatures in both cities started at 70°F, which city is warmer and shat is the ofference in the temperatures after 5 hours? (1 point)
O Cry Aamer by 10'P
After 5 hours, the temperature in City A will have dropped by 5 * -6 = -30°F from its starting point of 70°F.
So the temperature in City A will be 70 - 30 = 40°F.
Similarly, the temperature in City B will have dropped by 5 * -3 = -15°F from its starting point of 70°F.
So the temperature in City B will be 70 - 15 = 55°F.
Therefore, City B is warmer than City A, and the difference in temperatures after 5 hours is 55 - 40 = 15°F.
Let's calculate the temperatures in both cities after 5 hours and determine which one is warmer.
In City A:
Initial temperature = 70°F
Change per hour = -6°F
Number of hours = 5
Temperature in City A after 5 hours:
70°F + (-6°F * 5 hours) = 70°F - 30°F = 40°F
In City B:
Initial temperature = 70°F
Change per hour = -3°F
Number of hours = 5
Temperature in City B after 5 hours:
70°F + (-3°F * 5 hours) = 70°F - 15°F = 55°F
Therefore, after 5 hours, City B is warmer with a temperature of 55°F compared to City A with a temperature of 40°F.
The difference in temperatures after 5 hours is:
Temperature in City B - Temperature in City A = 55°F - 40°F = 15°F
To determine which city is warmer and find the difference in temperatures after 5 hours, we need to calculate the final temperature in each city after 5 hours.
In City A, the temperature is changing by -6°F per hour. Starting at 70°F, the temperature would decrease by 6°F every hour. To find the final temperature after 5 hours, we multiply the rate of change (-6°F/hour) by the number of hours (5) and subtract it from the starting temperature:
Final temperature in City A = 70°F - (6°F/hour × 5 hours) = 70°F - 30°F = 40°F
In City B, the temperature is changing by -3°F per hour. Similarly, starting at 70°F, the temperature would decrease by 3°F every hour. Using the same calculation, we find the final temperature after 5 hours in City B:
Final temperature in City B = 70°F - (3°F/hour × 5 hours) = 70°F - 15°F = 55°F
Comparing the final temperatures in both cities, we see that City B is warmer with a final temperature of 55°F, while City A has a final temperature of 40°F.
To find the difference in temperatures after 5 hours, subtract the temperature in City A from the temperature in City B:
Temperature difference after 5 hours = Final temperature in City B - Final temperature in City A
Temperature difference after 5 hours = 55°F - 40°F = 15°F