Unit Rates & Proportions Unit Test

Question

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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 10°F.

City A is warmer by 2°F.

City A is warmer by 10°F.

Answer 1

To determine which city is warmer after 5 hours, we need to calculate the temperature change in each city.

In City A, the temperature is changing by -5°F per hour, so after 5 hours, the temperature would decrease by 5*5 = 25°F.

In City B, the temperature is changing by -3°F per hour, so after 5 hours, the temperature would decrease by 3*5 = 15°F.

Since the starting temperature in both cities is 70°F, the final temperature in City A would be 70 - 25 = 45°F, and the final temperature in City B would be 70 - 15 = 55°F.

Therefore, City B is warmer by 55 - 45 = 10°F.

The correct answer is City B is warmer by 10°F.