2012 AMC 8 第 2 题

先试着解答 2012 AMC 8 第 2 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 2012 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。

2.

在 East Westmore 县,统计学家估计每 88 小时出生一个婴儿,每天死亡一人。四舍五入到最接近的百位,East Westmore 每年人口增加多少人?
In the county of East Westmore, statisticians estimate there is a baby born every 8 8 hours and a death every day. To the nearest hundred, how many people are added to the population of East Westmore each year?
600600
700700
800800
900900
10001000
答案:B
知识点:速率估算
小提示:
先求一天内人口的净变化。
Find the net population change in one day.
大提示:
每 88 小时出生一个婴儿,表示每天出生 33 个婴儿。
A birth every 88 hours means 33 births per day.
视频讲解:
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文字解答:
每 88 小时出生 11 个婴儿,所以每 2424 小时出生 33 个婴儿。因此每天有 33 人出生、11 人死亡,平均每天人口净增加 22 人。一年有 365365 天,每天净增加 22 人,所以一年净增加约 2⋅365=7302\cdot 365 = 730 人,约为 700700。
所以正确答案是 B。
Since we have 11 birth every 88 hours, we have 33 births every 2424 hours. Therefore, we have 33 births a day and 11 death a day. The net change in population every day should be on average 2.2. Since we have 365365 days in a year and 22 added to the population every day, the net change in population should be around 2⋅365=730.2\cdot 365 = 730 . This is approximately 700.700.
Thus, the answer is B .
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