2007 AMC 10A Problem 6

Below is the professionally curated solution for Problem 6 of the 2007 AMC 10A, 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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Concepts:percentage fraction

Difficulty rating: 960

At Euclid High School, the number of students taking the AMC 10 was $60$ in $2002,$ $66$ in $2003,$ $70$ in $2004,$ $76$ in $2005,$ $78$ in $2006,$ and is $85$ in $2007.$ Between what two consecutive years was there the largest percentage increase?

$2002$ and $2003$

$2003$ and $2004$

$2004$ and $2005$

$2005$ and $2006$

$2006$ and $2007$

Solution:

From $2002$ to $2003,$ the increase is $\dfrac{6}{60} = \dfrac{1}{10} = 10\%.$

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

So the largest percentage increase was between $2002$ and $2003.$

Thus, the correct answer is A.

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Problem 6 in Other Years

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