1996 AMC 8 第 13 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。

13.

19961996 年秋季,共有 800800 名学生参加一年一度的学校清洁日。活动组织者预计,在 1997,19981997, 199819991999 每一年,参与人数都会比前一年增加 50%50\%。组织者预计 19991999 年秋季会有多少名参与者?

In the fall of 19961996, a total of 800800 students participated in an annual school clean-up day. The organizers of the event expect that in each of the years 1997,1998,1997, 1998, and 19991999, participation will increase by 50%50\% over the previous year. The number of participants the organizers expect in the fall of 19991999 is

12001200

15001500

20002000

24002400

27002700

答案:E
知识点:百分数等比数列
难度评级:930
解答:

每一年人数乘以 1.51.5800120018002700800 \to 1200 \to 1800 \to 2700

所以 19991999 年预计人数是 8001.53=2700800 \cdot 1.5^3 = 2700

所以正确答案是 E

Each year multiplies the count by 1.51.5: 800120018002700800 \to 1200 \to 1800 \to 2700.

So 8001.53=2700800 \cdot 1.5^3 = 2700 participants are expected in 19991999.

Thus, the correct answer is E .

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