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?
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