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When a certain tree was first planted, it was 4 feet tall

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Manager
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Joined: 05 Aug 2008
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Schools: McCombs Class of 2012
When a certain tree was first planted, it was 4 feet tall  [#permalink]

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New post 29 Dec 2008, 00:23
When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was \(\frac{1}{5}\) taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?

(A) \(\frac{3}{10}\)
(B) \(\frac{2}{5}\)
(C) \(\frac{1}{2}\)
(D) \(\frac{2}{3}\)
(E) \(\frac{6}{5}\)


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Joined: 17 Jun 2008
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Re: Tree Growth  [#permalink]

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New post 29 Dec 2008, 00:46
4 + 6x = (1 + 1/5)(4 + 4x)
or, x = 2/3
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Re: Tree Growth  [#permalink]

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New post 29 Dec 2008, 00:54
I got the the same equation except for the 1 in (1 + 1/5), can you explain why it is there?

thanks
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Re: Tree Growth  [#permalink]

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New post 29 Dec 2008, 02:13
The question clearly says 1/5 taller than.. which means the tree is 1/5 more tall than it was at the end of 4th year
aka 20% more.

So 4 + 6x = 1.2(4 + 4x)
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Re: Tree Growth  [#permalink]

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New post 29 Dec 2008, 10:28
ah silly of me. thank you for the explanation.

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Re: Tree Growth &nbs [#permalink] 29 Dec 2008, 10:28
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