Answered

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 :

MrRoyal

Answer:

20 years

Step-by-step explanation:

Given

[tex]H = 3t + 5[/tex]

[tex]0 \leq H \leq 100[/tex]

Required

Solve for t when H = 65ft

[tex]H = 3t + 5[/tex]

Substitute 65 for H

[tex]65 = 3t + 5[/tex]

Make 3t the subject

[tex]3t = 65 - 5[/tex]

[tex]3t = 60[/tex]

Solve for t

[tex]t = 60/3[/tex]

[tex]t = 20[/tex]

This implies that the duration is 20 years

Other Questions