Question

he temperature is dropping throughout the day as a cold front comes in. In City A, the temperature is changing by −5°F
−
5
°
F
per hour, and in City B the temperature is changing by −3°F
−
3
°
F
per hour. If the temperatures in both cities started at 70°F
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
10
°
F
.
City B is warmer by 10 degrees F .

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

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

City B is warmer by 2°F
2
°
F
.

Answer 1

To find the temperatures in both cities after 5 hours, we will compute the change in temperature for each city and then find their temperatures at that time.

**For City A:**
- Initial temperature = 70°F
- Temperature change per hour = -5°F
- After 5 hours, the change in temperature = 5 hours × -5°F/hour = -25°F
- Temperature in City A after 5 hours = 70°F - 25°F = 45°F

**For City B:**
- Initial temperature = 70°F
- Temperature change per hour = -3°F
- After 5 hours, the change in temperature = 5 hours × -3°F/hour = -15°F
- Temperature in City B after 5 hours = 70°F - 15°F = 55°F

Now, we can compare the temperatures of City A and City B:
- Temperature in City A = 45°F
- Temperature in City B = 55°F

City B is warmer than City A.

**Difference in temperature:**
Difference = Temperature in City B - Temperature in City A = 55°F - 45°F = 10°F.

So, the final answer is:
**City B is warmer by 10°F.**