princessss wrote:When a tree was planted it was 4 feet. Its height increased by a constant amount each year for 6 years. after 6 years the tree was 1/5 taller than at the end of 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
We can plug in the answers, which represent the increase in height each year. We need to determine the height after 4 years and the height after 6 years. Increasing the height after 4 years by 1/5 must yield the height after 6 years. Let h = height.
Answer choice C:
After 4 years, h = 4 + 4*(1/2) = 6.
After 6 years, h = 6 + 2(1/2) = 7.
Doea 6 + (1/5)*6 = 7? No.
Answer choice D:
After 4 years, h = 4 + 4*(2/3) = 20/3.
After 6 years, h = 20/3 + 2(2/3) = 24/3.
Does 20/3 + (1/5)*20/3 = 24/3? Yes!
The correct answer is D.
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