Difference between revisions of "1996 AJHSME Problems/Problem 13"
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Latest revision as of 23:24, 4 July 2013
Contents
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 | |
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
