Respuesta :
Using function concepts, it is found that the domain in this context is [tex]0 \leq t \leq 59[/tex].
- The domain of a function is the set that contains all possible input values.
In this problem, the height of the airplane after t seconds is modeled by:
[tex]A(t) = 29500 - 500t[/tex]
This function is only valid for non-negative values of t, that is, [tex]t \geq 0[/tex], and for non-negative altitudes, that is:
[tex]A(t) \geq 0[/tex]
Thus:
[tex]29500 - 500t \geq 0[/tex]
[tex]-500t \geq -29500[/tex]
[tex]500t \leq 29500[/tex]
[tex]5t \leq 295[/tex]
[tex]t \leq \frac{295}{5}[/tex]
[tex]t \leq 59[/tex]
Thus, the domain for the function in this context is: [tex]0 \leq t \leq 59[/tex].
A similar problem is given at https://brainly.com/question/17732416
