Question

A tree with a height of 3.95 feet was planted in 2012. It grows an average of 0.45 feet per year.

a. Assuming the tree continues to grow at this rate, what year will
the height of the tree reach 17 feet high?
b. Using the growth rate per year, what will the height of the tree be
in 2030?

Answer 1

a. 17ft

b. 22.85 ft

Explanation:

a. To find out in what year the tree will reach 17 feet high, we need to first calculate how many years it will take for the tree to grow from its current height of 3.95 feet to 17 feet. We can do this by subtracting the tree's current height from its target height and dividing the result by the tree's average annual growth rate: (17 - 3.95) / 0.45 = 33.22. This means that if the tree continues to grow at its current rate, it will reach a height of 17 feet in the year 2045 (2012 + 33.22 = 2045).

b. To find out what the height of the tree will be in 2030, we need to calculate how much the tree will have grown by that year. We can do this by subtracting the current year from the target year and multiplying the result by the tree's average annual growth rate: (2030 - 2012) * 0.45 = 18.9. This means that in 2030, the tree will be 18.9 + 3.95 = 22.85 feet tall.