2024 AMC 8 第 8 题
先试着解答 2024 AMC 8 第 8 题，然后核对你的答案与视频与精心整理的解答，解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2024 AMC 8 解答，或核对答案。
所有题目均经美国数学协会（MAA）官方合法授权使用。
8.
星期一 Taye 有 。每天，他要么增加 ，要么把前一天的钱数翻倍。 天后的星期四，Taye 可能有多少种不同的钱数？
On Monday Taye has Every day, he either gains or doubles the amount of money he had on the previous day. How many different dollar amounts could Taye have on Thursday, days later?
小提示：
每天分成加 或翻倍两种情况
After each day, branch into adding or doubling
大提示：
依次列出星期二、星期三、星期四的可能金额
List the amounts after Tuesday, then Wednesday, then Thursday
视频讲解：
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文字解答：
星期二结束时，Taye 可能有 或 美元。星期三结束时，可能的金额为 所以不同的金额是 。
星期四结束时，这些金额可能变成 共有 种不同的金额。
所以正确答案是 D。
After Tuesday, Taye could have or dollars. After Wednesday, the possible amounts are so the distinct amounts are .
After Thursday, these can become These are distinct dollar amounts.
Thus, D is the correct answer.
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