Question

游戏节目 Who Wants To Be a Millionaire? 中每道题的奖金如下表所示（其中 $\text{K}=1000$ ）。哪两道题之间奖金的百分比增加最小？ $\begin{array}{ccccc} \boldsymbol{\#} & 1 & 2 & 3 \\ \boldsymbol{\$} & 100 & 200 & 300 \end{array}$ $\begin{array}{cccccc} 4 & 5 & 6 & 7 & 8 \\ 500 & 1\text{K} & 2\text{K} & 4\text{K} & 8\text{K} \end{array}$ $\begin{array}{ccccc} 9 & 10 & 11 & 12 \\ 16\text{K} & 32\text{K} & 64\text{K} & 125\text{K} \end{array}$ $\begin{array}{ccc} 13 & 14 & 15 \\ 250\text{K} & 500\text{K} & 1000\text{K} \end{array}$

For the game show Who Wants To Be a Millionaire?, the dollar values of each question are shown in the following table (where $\text{K}=1000$ ). $\begin{array}{ccccc} \boldsymbol{\#} & 1 & 2 & 3 \\ \boldsymbol{\$} & 100 & 200 & 300 \end{array}$ $\begin{array}{cccccc} 4 & 5 & 6 & 7 & 8 \\ 500 & 1\text{K} & 2\text{K} & 4\text{K} & 8\text{K} \end{array}$ $\begin{array}{ccccc} 9 & 10 & 11 & 12 \\ 16\text{K} & 32\text{K} & 64\text{K} & 125\text{K} \end{array}$ $\begin{array}{ccc} 13 & 14 & 15 \\ 250\text{K} & 500\text{K} & 1000\text{K} \end{array}$ Between which two questions is the percent increase of the value the smallest?

从 $1$ 到 $2$

From $1$ to $2$

从 $2$ 到 $3$

From $2$ to $3$

从 $3$ 到 $4$

From $3$ to $4$

从 $11$ 到 $12$

From $11$ to $12$

从 $14$ 到 $15$

From $14$ to $15$

答案：B

知识点：百分数

难度评级：1380

解答：

列出的多数增加都是翻倍，也就是增加 $100\%$ 。

在选项中，例外是从 $2$ 到 $3$ 、从 $3$ 到 $4$ 、以及从 $11$ 到 $12$ 。

这些百分比增加分别是 $\dfrac{300-200}{200}=50\%$ ， $\dfrac{500-300}{300}=66\dfrac23\%$ ，以及 $\dfrac{125000-64000}{64000}$ ，约为 $95\%$ 。

最小的是从第 $2$ 题到第 $3$ 题。

所以正确答案是 B。

Most of the listed increases are doublings, which are $100\%$ increases.

The exceptions among the answer choices are from $2$ to $3$ , from $3$ to $4$ , and from $11$ to $12$ .

These percent increases are $\dfrac{300-200}{200}=50\%$ , $\dfrac{500-300}{300}=66\dfrac23\%$ , and $\dfrac{125000-64000}{64000}$ , which is about $95\%$ .

The smallest is from question $2$ to question $3$ .

Thus, B is the correct answer.

2001 AMC 8 第 17 题

答案：B

难度评级：1380

解答：

其他年份的第 17 题