The temperature is dropping throughout the day as a cold front comes in. In City A, the temperature is changing by −5°F per hour, and in City B the temperature is changing by −3°F per hour. 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?(1 point)
point)
Responses
City B is warmer by 2°F.
City B is warmer by 2 degrees F .
City B is warmer by 10°F.
City B is warmer by 10 degrees F .
City A is warmer by 2°F.
City A is warmer by 2 degrees F .
City A is warmer by 10°F.
City B is warmer by 2 degrees Fahrenheit. The difference in their temperatures after 5 hours is 10 degrees Fahrenheit.
To find out which city is warmer after 5 hours and the difference in their temperatures, we need to calculate the temperature in each city after 5 hours.
The temperature in City A is changing by -5°F per hour, so after 5 hours, the temperature will be:
70°F + (-5°F/hour * 5 hours) = 70°F + (-5°F/hour * 5 hours) = 70°F - 25°F = 45°F.
The temperature in City B is changing by -3°F per hour, so after 5 hours, the temperature will be:
70°F + (-3°F/hour * 5 hours) = 70°F + (-3°F/hour * 5 hours) = 70°F - 15°F = 55°F.
Therefore, City A is warmer by 10°F because the temperature in City A is 45°F and the temperature in City B is 55°F.
To find out which city is warmer and the difference in their temperatures after 5 hours, we need to calculate the temperatures in each city after 5 hours.
City A's temperature is changing by -5°F per hour.
Starting with a temperature of 70°F, after 5 hours, the temperature in City A will be:
70°F + (-5°F/hour * 5 hours) = 70°F + (-25°F) = 45°F
City B's temperature is changing by -3°F per hour.
Starting with a temperature of 70°F, after 5 hours, 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 (55°F - 45°F) = 10°F after 5 hours.
So the correct answer is:
City B is warmer by 10°F.