The Aging Tree
When a certain tree was first planted, it was 4 feet tall, and the heigth 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 increased each year?
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1 solution
Let the tree grows by x feet every year. Then, 4 + 6x = (1+1/5)(4+4x) or, x = 2/3