2022 AMC 8 第 9 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
9.
一杯沸水（F）放在一个温度保持 F 的房间中冷却。假设水温与室温的差每 分钟减半。 分钟后，水温是多少华氏度？
A cup of boiling water ( F) is placed to cool in a room whose temperature remains constant at F. Suppose the difference between the water temperature and the room temperature is halved every minutes. What is the water temperature, in degrees Fahrenheit, after minutes?
答案：B
小提示：
跟踪水温与室温的差
Track the difference from room temperature
大提示：
分钟内，这个差减半 次
In minutes, the difference is halved times
解答：
当前水温和室温的差为 。
分钟包含三个 分钟，所以温差会减半 次。
也就是说温差乘以 ，新的温差是 。水温为 。
正确答案是 B。
The current difference is
Since we have minutes while halving every minutes, we halve the difference times.
This means the difference is multiplied by so our new difference is This makes our final temperature
Thus, the correct answer is B.
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