1996 AJHSME Problems/Problem 13
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[hide]Problem
In the fall of 1996, a total of 800 students participated in an annual school clean-up day. The organizers of the event expect that in each of the years 1997, 1998, and 1999, participation will increase by 50% over the previous year. The number of participants the organizers will expect in the fall of 1999 is
Solution 1
If the participation increases by , then it is the same as saying participation is multipled by a factor of .
In 1997, participation will be .
In 1998, participation will be
In 1999, participation will be , giving an answer of .
Solution 2
Since the percentage increase is the same each year, this is an example of exponential growth with a base of . In three years, there will be times as many participants. Multiplying this by the current participants, there are participants, and the answer is .
See Also
1996 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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All AJHSME/AMC 8 Problems and Solutions |
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