Question

A tree is planted and is expected to grow according to the model below, where t is the number of years since the tree was planted and H is the height of the tree, in feet. = 3 + 5 0 ≤ ≤ 100 How many years after the tree is planted does the model predict the height of 65 feet?

Answer 1

20 years

Explanation:

Given

`H = 3t + 5`

`0 \leq H \leq 100`

Required

Solve for t when H = 65ft

`H = 3t + 5`

Substitute 65 for H

`65 = 3t + 5`

Make 3t the subject

`3t = 65 - 5`

`3t = 60`

Solve for t

`t = 60/3`

`t = 20`

This implies that the duration is 20 years