AMC8 1998

AMC8 1998 · Q17

AMC8 1998 · Q17. It mainly tests Interest / growth (simple), Rounding & estimation.

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?

大约从 1998 年起多少年后，Nisos 的人口将达到 Queen Irene 宣称岛屿所能支持的数量？

(A) 50 yrs. 50 年

(B) 75 yrs. 75 年

(D) 125 yrs. 125 年

(E) 150 yrs. 150 年

Answer

Correct choice: (C)

正确答案：（C）

Solution

Answer (C): \[ \begin{array}{r|r|r} \text{Year} & \text{Population} & \text{Area Needed} \\ \hline 1998 & 200 & 300 \\ 2023 & 600 & 900 \\ 2048 & 1{,}800 & 2{,}700 \\ 2073 & 5{,}400 & 8{,}100 \\ 2098 & 16{,}200 & 24{,}300 \\ \end{array} \] The Isles can support $24{,}900 \div 1.5 = 16{,}600$ people. The chart shows that this will happen about the year 2098, or in about 100 years.

答案（C）： \[ \begin{array}{r|r|r} \text{年份} & \text{人口} & \text{所需面积} \\ \hline 1998 & 200 & 300 \\ 2023 & 600 & 900 \\ 2048 & 1{,}800 & 2{,}700 \\ 2073 & 5{,}400 & 8{,}100 \\ 2098 & 16{,}200 & 24{,}300 \\ \end{array} \] 这些岛屿可容纳的人口为 $24{,}900 \div 1.5 = 16{,}600$ 人。图表显示，这将发生在大约 2098 年，也就是大约 100 年后。

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