AMC考试练习题及答案解析（2）
Problem
For the game show Who Wants To Be A Millionaire?, the dollar values of each question are shown in the following table (where K = 1000).
![\[\begin{tabular}{rccccccccccccccc} \text{Question} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 & 13 & 14 & 15 \\ \text{Value} & 100 & 200 & 300 & 500 & 1\text{K} & 2\text{K} & 4\text{K} & 8\text{K} & 16\text{K} & 32\text{K} & 64\text{K} & 125\text{K} & 250\text{K} & 500\text{K} & 1000\text{K} \end{tabular}\]](http://latex.artofproblemsolving.com/f/7/2/f72d71240cdafc0531cc3a8916a28cacd345acdf.png)
Between which two questions is the percent increase of the value the smallest?
Solution
Notice that in two of the increases, the dollar amount doubles. The increases in which this is not true is 
to 
, to 
, and 
to 
. We can disregard to since that increase is almost times. The increase from to is 
, so it's only multiplied by a factor of 
. The increase from to is 
, so it's only multiplied by a factor of 
. Therefore, the smallest percent increase is 
问题
对于想要成为百万富翁的游戏节目？，每个问题的美元价值如下表所示（其中K = 1000）。
两个问题之间的最小值增加百分比是多少？
解
请注意，在两次增加中，美元金额翻倍。该增加在这不是真的是给，给，并给。我们可以无视，因为这种增长几乎是几次。从增长到是，因此它只能通过一个因子相乘。从增长到是，因此它只能通过一个因子相乘。因此，增幅最小的是
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