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

Answer:

20 years

Step-by-step 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