Question

An airline uses the function below to calculate the profits earned from a 2,124-mile flight of a commercial jet that has a maximum seating capacity of 160 passengers. In the function, x represents the number of passengers on board the plane.
P(x) = $355x - $33,984

What is the domain of P(x)?

Answer 1

The domain of P(x) will be : $0\leq x\leq 160$ 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 : $0\leq x\leq 160$ or [0, 160]