Question

第 $15, 16$ 和 $17$ 题都参考以下内容：

不要让群岛太拥挤

在 Irenic Sea 的正中央，有美丽的 Nisos Isles。 $1998$ 年这些岛上的人口只有 $200$ ，但人口每 $25$ 年增长为原来的三倍。Queen Irene 规定，岛上每位居民至少必须有 $1.5$ 平方英里的土地。Nisos Isles 的总面积是 $24900$ 平方英里。

估计 $2050$ 年 Nisos 的人口。

Problems $15, 16,$ and $17$ all refer to the following:

Don’t Crowd The Isles

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 $24900$ square miles.

Estimate the population of Nisos in the year $2050.$

$600$

$800$

$1000$

$2000$

$3000$

答案：D

知识点：等比数列估算

难度评级：960

解答：

$2048$ 年是 $1998$ 年之后 $50$ 年，人口为 $3^2\cdot200=1800$ 。

因为 $2048$ 接近 $2050$ ，所以 $2050$ 年人口约为 $1800$ ，最接近的选项是 $2000$ 。

所以正确答案是 D。

The population in $2048$ , which is $50$ years after $1998$ , is $3^2\cdot200=1800$ .

Since $2048$ is close to $2050$ , the population in $2050$ is approximately $1800$ , and the closest choice is $2000$ .

Thus, the correct answer is D .

1998 AMC 8 第 15 题

答案：D

难度评级：960

解答：

其他年份的第 15 题