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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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16 Nov 2005, 03:03
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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 constant 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)3/10
(B)2/5
(C)1/2
(D)2/3
(E)6/5
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16 Nov 2005, 03:56
D)...a0=4...a4=4+4d...a6=4+6d...d=constant...1,2(4+4d)=4+6d...d=2/3
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16 Nov 2005, 06:03
themagiccarpet wrote:
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 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)3/10
(B)2/5
(C)1/2
(D)2/3
(E)6/5

If the height of the tree increases by x each year:

At the end of 6 years the height = 4 + 4x
At the end of 6 years the height = 4 + 6x

As per stem:

4 + 6x = 4 + 4x + (1/5 * (4 + 4x))

Solving x = 2/3
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16 Nov 2005, 11:29
themagiccarpet wrote:
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 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)3/10
(B)2/5
(C)1/2
(D)2/3
(E)6/5

(6/5)(4+4x) = 4+6x, solve for x, x = 2/3

Re: PS: trees   [#permalink] 16 Nov 2005, 11:29
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