The domain of P(x) will be : [tex]0\leq x\leq 160[/tex] or [0, 160]
Explanation
Given function : P(x) = $355x - $33,984
Domain means the set of possible values of x , for which the function P(x) can be defined.
Here, x represents the number of passengers on board the plane. As the number of passengers can't be in negative, so the minimum value of x will be 0.
Given that, the plane has a maximum seating capacity of 160 passengers. It means the maximum value of x is 160.
So, the domain of P(x) will be : [tex]0\leq x\leq 160[/tex] or [0, 160]