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# When a certain tree was planted it was 4 ft tall. The height

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Manager
Joined: 07 Jan 2008
Posts: 85
When a certain tree was planted it was 4 ft tall. The height [#permalink]

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02 Nov 2008, 15:05
When a certain tree was planted it was 4 ft tall. The height of tree incidentally increased by a constant amount 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 tree increase each year.
(a) 3/10
(b) 2/5
(c) 1/2
(d) 2/3
(e) 6/5

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Intern
Joined: 03 Mar 2008
Posts: 44

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02 Nov 2008, 19:03
topmbaseeker wrote:
When a certain tree was planted it was 4 ft tall. The height of tree incidentally increased by a constant amount 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 tree increase each year.
(a) 3/10
(b) 2/5
(c) 1/2
(d) 2/3
(e) 6/5

is something off in the question or is it just me ?
is it 1/5 times taller, 1/5 feet taller or 1.5 feet taller ?
Manager
Joined: 09 Jul 2008
Posts: 109
Location: Dallas, TX
Schools: McCombs 2011

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02 Nov 2008, 21:00
topmbaseeker wrote:
When a certain tree was planted it was 4 ft tall. The height of tree incidentally increased by a constant amount 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 tree increase each year.
(a) 3/10
(b) 2/5
(c) 1/2
(d) 2/3
(e) 6/5

Y0: 4
EOY1: 4+x
EOY2: 4+2x
EOY3: 4+3x
EOY4: 4+4x
EOY5: 4+5x
EOY6: 4+6x

EOY4 + 1/5 (EOY4) = EOY6
4x+4 + 1/5(4x+4) = 6x+4
Solving, we get x = 2/3

SVP
Joined: 17 Jun 2008
Posts: 1503

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02 Nov 2008, 23:12
If the tree grows x feet each year then (4+4x)*(1+1/5) = 4 + 6x
or, 24 + 24x = 20 + 30 x
or, x = 2/3

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Re: Tree height   [#permalink] 02 Nov 2008, 23:12
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# When a certain tree was planted it was 4 ft tall. The height

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