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forum.virtualchallengemeets.com • View topic - Tom Thumb

Tom Thumb

What could be so hard. It's a multiple-choice test for Pete's sake.

Tom Thumb

Postby chipsing1234 » Thu Apr 12, 2007 6:18 pm

There was a question on the District 2 test this year that read:
Tom Thumb grew in height 5% two years ago, 7% last year, and 11% this year. What was his percentage growth per year, on average, during this period? (nearest hundredth percent)
The answer is 7.64%, but I don't see how to get that. Another answer choice was 7.67%, so simply adding all three and dividing by three isn't right... help anyone?
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Postby stupidityismygam » Thu Apr 12, 2007 6:21 pm

given that his height is x...you are looking for a percent such that...

[unparseable or potentially dangerous latex formula]

where y is the average percent growth./100..
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Postby bradp » Thu Apr 12, 2007 6:30 pm

or... find the geometric mean of the three rates (they have to be in 1.xx form, not just .xx)

Cube root(1.05*1.07*1.11)
= 1.0763793363
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Postby chipsing1234 » Thu Apr 12, 2007 8:08 pm

oh, i see. thanks
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Postby stupidityismygam » Thu Apr 12, 2007 8:18 pm

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