Problem:
At Euclid High School, the number of students taking the AMC10 was 60 in 2002, 66 in 2003, 70 in 2004, 76 in 2005, and 78 in 2006, and is 85 in 2007. Between what two consecutive years was there the largest percentage increase?
Answer Choices:
A. 2002 and 2003
B. 2003 and 2004
C. 2004 and 2005
D. 2005 and 2006
E. 2006 and 2007
Solution:
Between 2002 and 2003, the increase was
606​=101​=10%
Between the other four pairs of consecutive years, the increases were
664​<404​=101​,706​<606​=101​,762​<202​=101​, and 787​<707​=101​
Therefore the largest percentage increase occurred between (A)2002 and 2003​.
The problems on this page are the property of the MAA's American Mathematics Competitions