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When a certain tree

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When a certain tree

by ektamatta » Mon Jun 30, 2008 3:40 pm
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

OA is D
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by atlantic » Tue Jul 01, 2008 12:18 am
1st year = 4'+x
2nd year=4'+2x
3rd year=4'+3x
4th year=4'+4x
5th year=4'+5x
6th year=4'+6x

Being 'x' the annual increase.

Algebrically the statement says 6/5*(4+4x)=4+6x

Solve it and find that x=2/3.
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