Real life events can be modeled by a function.
The maximum height is 650 feet
The function is given as:
[tex]\mathbf{y = -10x^2 + 160x + 10}[/tex]
Differentiate the function
[tex]\mathbf{y' = -20x + 160}[/tex]
Set to 0
[tex]\mathbf{-20x + 160 =0}[/tex]
Collect like terms
[tex]\mathbf{20x = 160}[/tex]
Divide both sides by 20
[tex]\mathbf{x = 8}[/tex]
Substitute 8 for x in [tex]\mathbf{y = -10x^2 + 160x + 10}[/tex]
[tex]\mathbf{y = -10 \times 8^2 + 160 \times 8 + 10}[/tex]
[tex]\mathbf{y = 650}[/tex]
Hence, the maximum height is 650 feet
Read more about functions at:
https://brainly.com/question/21397197
