the temperature is dropping throughout the day as a cold front comes in in the city a the temperature is chageing by - 5 F per hour and in city the tempurture is chageing by - 3 F per hour if the temperatures in both cites started at 70 F which city is warmer and what is the different in their tempearture after 5 hours
After 5 hours, the temperature in city A would have changed by -5F/hour * 5 hours = -25F.
Similarly, the temperature in city B would have changed by -3F/hour * 5 hours = -15F.
Starting at 70F, the temperature in city A would be 70F - 25F = 45F after 5 hours.
The temperature in city B would be 70F - 15F = 55F after 5 hours.
Therefore, city B is warmer and the difference in their temperatures after 5 hours is 55F - 45F = 10F.
To determine which city is warmer and calculate the difference in their temperatures after 5 hours, we can follow these steps:
Step 1: Determine the temperature change in each city per hour.
- In city A: The temperature is changing by -5°F per hour.
- In city B: The temperature is changing by -3°F per hour.
Step 2: Calculate the temperature in each city after 5 hours using the starting temperature of 70°F.
- In city A:
Temperature after 5 hours = 70°F + (-5°F/hour * 5 hours) = 70°F + (-25°F) = 45°F.
- In city B:
Temperature after 5 hours = 70°F + (-3°F/hour * 5 hours) = 70°F + (-15°F) = 55°F.
Step 3: Determine which city is warmer and calculate the temperature difference.
Comparing the temperatures after 5 hours:
- In city A: 45°F
- In city B: 55°F
City B has a higher temperature after 5 hours, making it warmer than city A.
Temperature difference after 5 hours = Temperature in city B - Temperature in city A
= 55°F - 45°F = 10°F.
Therefore, city B is warmer than city A, with a temperature difference of 10°F after 5 hours.
To determine which city is warmer and calculate the temperature difference after 5 hours, let's track the temperature changes for each city.
For the first city, the temperature is dropping at a rate of -5°F per hour, starting from an initial temperature of 70°F. After 5 hours, the temperature would be:
70°F - 5°F/hour * 5 hours = 70°F - 25°F = 45°F
Now let's calculate the temperature change for the second city. The temperature is dropping at a rate of -3°F per hour, starting from an initial temperature of 70°F. After 5 hours, the temperature would be:
70°F - 3°F/hour * 5 hours = 70°F - 15°F = 55°F
Comparing the two temperatures, we see that the second city has a higher temperature after 5 hours. Therefore, the second city is warmer.
To find the temperature difference between the two cities, subtract the temperature of the first city from the temperature of the second city:
55°F - 45°F = 10°F
So, the temperature difference between the two cities after 5 hours is 10°F, with the second city being warmer.