Question

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)
Responses

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
.
City A is warmer by 10 degrees F .

City B is warmer by 10°F
.

Answer 1

To determine which city is warmer after 5 hours and the difference in their temperatures, we can calculate the temperatures in both cities after that time period.

**City A:**
- Initial temperature = 70°F
- Temperature drop = -5°F per hour
- Total drop after 5 hours = 5 hours * -5°F/hour = -25°F
- Temperature after 5 hours in City A = 70°F - 25°F = 45°F

**City B:**
- Initial temperature = 70°F
- Temperature drop = -3°F per hour
- Total drop after 5 hours = 5 hours * -3°F/hour = -15°F
- Temperature after 5 hours in City B = 70°F - 15°F = 55°F

**Comparison:**
- Temperature in City A after 5 hours = 45°F
- Temperature in City B after 5 hours = 55°F

City B is warmer at 55°F compared to City A at 45°F.

**Difference:**
- Temperature difference = 55°F - 45°F = 10°F

Thus, the correct response is: **City B is warmer by 10°F.**