The temperature is dropping throughout the day as a cold front comes in. In City A, the temperature is changing by −5°F

Question

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)
Responses

City B is warmer by 10°F
.
City B is warmer by 10 degrees F .

City B is warmer by 2°F
.
City B is warmer by 2 degrees F .

City A is warmer by 2°F
.
City A is warmer by 2 degrees F .

City A is warmer by 10°F
.

Answer 1

To determine which city is warmer after 5 hours, we can calculate the temperature for both cities after this time period.

1. City A:

   • Initial Temperature: 70°F
   • Rate of Temperature Change: −5°F per hour
   • After 5 hours: \[ \text{Temperature in City A} = 70°F + (−5°F \times 5) = 70°F − 25°F = 45°F \]

2. City B:

   • Initial Temperature: 70°F
   • Rate of Temperature Change: −3°F per hour
   • After 5 hours: \[ \text{Temperature in City B} = 70°F + (−3°F \times 5) = 70°F − 15°F = 55°F \]

Now, comparing the temperatures:

• City A: 45°F
• City B: 55°F

City B is warmer than City A. To find the difference in their temperatures: \[ \text{Difference} = 55°F − 45°F = 10°F \]

Therefore, the answer is: City B is warmer by 10°F.