Ben is climbing a tree with a lot of branches. His height off the ground at time t is t^2-5t+29 feet. To the nearest foot, what will his minimum height be?

Guest May 23, 2022

#1**+1 **

First, you need to determine when Ben will reach his minimum height

\(\frac{5}{(2)(1)}\) = 2.5 seconds

Then, plug 2.5 into the equation as t

(2.5)^{2} - 5(2.5) + 29

Simplify

6.25 - 12.5 + 29

Simplify

22.75

Rounded to the nearest foot, his minimum height will be 23 feet

saseflower May 23, 2022