Answer:
The initial height of the balloon is 2 feet.
Step-by-step explanation:
The height of the balloon in feet after t seconds is given by the following equation:
[tex]h(t) = -0.08t^{2} + 1.6t + 2[/tex]
What is the initial height of the balloon?
This is h when t = 0, that is, h(0). So
[tex]h(0) = -0.08*0^{2} + 1.6*0 + 2 = 2[/tex]
The initial height of the balloon is 2 feet.