Difference between revisions of "2001 AMC 8 Problems/Problem 17"
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Revision as of 23:38, 4 July 2013
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 
See Also
| 2001 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 16 |
Followed by Problem 18 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
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