AMC 8 1998 Problem 17

AMC8 1998 年第 17

数列与规律★★★☆☆
Contents 1 Don't Crowd the Isles 2 Problem 17 3 Solution 1 4 Solution 2 5 See also Don't Crowd the Isles Problems 15, 16, and 17 all refer to the following: In the very center of the Irenic Sea lie the beautiful Nisos Isles. In 1998 the number of people on these islands is only 200, but the population triples every 25 years. Queen Irene has decreed that there must be at least 1.5 square miles for every person living in the Isles. The total area of the Nisos Isles is 24,900 square miles. Problem 17 In how many years, approximately, from 1998 will the population of Nisos be as much as Queen Irene has proclaimed that the islands can support?
在 Irenic 海的中央坐落着美丽的 Nisos 群岛。1998 年这些岛屿上的人口仅为 200,但人口每 25 年翻三倍。Irene 女王已颁布法令,岛上每个人必须有至少 1.5 平方英里的空间。Nisos 群岛的总面积为 24,900 平方英里。 大约从 1998 年起多少年后,Nisos 的人口会达到 Irene 女王宣布的群岛可承载的数量?
  1. A.50 yrs.50\text{ yrs.}
  2. B.75 yrs.75\text{ yrs.}
  3. C.100 yrs.100\text{ yrs.}
  4. D.125 yrs.125\text{ yrs.}
  5. E.150 yrs.150\text{ yrs.}

正确答案 · Correct Answer

C

解析 · Solution

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