Question

Help Me Please???:):D

four years after a hedge maple tree was planted, its height was 9 feet. eight years after it was planted, the hedge maple tree's height was 12 feet. what is the growth rate of the hedge maple? what was its height when it was planted?? ...?

Answer 1

The growth rate of the hedge maple tree is 0.75 feet per year, and the tree's original height when it was planted was 6 feet.

Step-by-step explanation:

We are tasked with finding the growth rate of a hedge maple tree and its original height when it was planted based on the given data. The tree's height was recorded at two different times: Four years after it was planted, its height was 9 feet, and eight years after planting, its height reached 12 feet.

To calculate the growth rate per year, we take the difference in height over the difference in time:
Growth rate = (Height at 8 years - Height at 4 years) / (Time at 8 years - Time at 4 years)
Thus, Growth rate = (12 feet - 9 feet) / (8 years - 4 years) = 3 feet / 4 years = 0.75 feet per year.

To determine the original height when the tree was planted, we can subtract the total growth over the four years from the height at four years after planting:
Original height = Height at 4 years - (Growth rate * 4 years)
Original height = 9 feet - (0.75 feet/year * 4 years) = 6 feet.

Answer 2

Hedge maple trees growth rate are known to be moderate to slow. I assume that the height of it when it was planted was 6 feet. Since after 4 years, it grew 9 feet and after 8 years it grew 12 feet. I hope this answer helps!