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

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When a certain tree was first planted, it was 4 feet tall, [#permalink]

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02 Aug 2006, 17:06
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When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a consttant amount each year for the next 6 years. At the end of the 6th year, the tree was 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. 5/10
B. 2/5
C. 1/3
D. 2/3
E. 6/5
Manager
Joined: 25 Jul 2006
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02 Aug 2006, 17:32
D....

T(o) =4
T(4) = 4 + 4x
T(6) = 4 + 6x

T(6) = 6/5*T(4)
4 +6x = 6/5 * (4+4x)
x= 2/3
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02 Aug 2006, 23:32
Let x be the height it grows each year.

1st year = 4+x
2nd = 4+2x
.
.
4th year = 4+4x
..

..

6th year = 4+6x

hence
4+6x = 4+4x + 1/5 *(4+4x)
20 + 30x = 24x + 24
6x = 4
x = 2/3
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# When a certain tree was first planted, it was 4 feet tall,

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