2007 AMC 10A Problem 6

Attempt Problem 6 of the 2007 AMC 10A below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2007 AMC 10A solutions, or check the answer key.

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6.

At Euclid High School, the number of students taking the AMC 10 was 6060 in 2002,2002, 6666 in 2003,2003, 7070 in 2004,2004, 7676 in 2005,2005, 7878 in 2006,2006, and is 8585 in 2007.2007. Between what two consecutive years was there the largest percentage increase?

20022002 and 20032003

20032003 and 20042004

20042004 and 20052005

20052005 and 20062006

20062006 and 20072007

Answer: A
Concepts:percentagefraction
Difficulty rating: 960
Solution:

From 20022002 to 2003,2003, the increase is 660=110=10%. \dfrac{6}{60} = \dfrac{1}{10} = 10\%.

The other increases are 466,\dfrac{4}{66}, 670,\dfrac{6}{70}, 276,\dfrac{2}{76}, and 778,\dfrac{7}{78}, each less than 110.\dfrac{1}{10}.

So the largest percentage increase was between 20022002 and 2003.2003.

Thus, the correct answer is A.

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