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 / frac{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?

Question

Mathematics

Dallas Johns

22 February, 10:20

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 / frac{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?

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Yesenia Goodwin · Answer 1

Let the height increase each year be x. If the initial height was 4 ft, then its height after 6 years would be 4 + 6x. This is 1/5 taller than its initial height, so

4 + 6x = 4 (1 + 1/5) 6x = 4/5x = 2/15 ft per year