The hourly operating cost of a certain plane, which seats up to 295 passengers, is estimated to be $3,845. If an airline charges each passenger a fare of $110 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x. I. Specify the domain.
1. 0 \leq x \leq \infty
2. 0 \leq x \leq 295
3. 0 < x < 295
4. 295 \leq x \leq \infty
II. What is the least number of passengers it must carry to make a profit?

I) Option 2)

II) Minimum 35 passengers must be carried in the flight to make a profit.        

Step-by-step explanation:

We are given the following in the question:

I) Number of seats in plane = 295

Estimated cost = $3,845

Cost per passenger=  $110 per hour of flight

Let x be the number of passenger travelling by flight.

Total cost  =

Then, we can design the profit function as:

The domain is the collection \of all the values of x for which the function is defined.

Thus, the domain of the profit function will be

Option 2)

II) least number of passengers it must carry to make a profit

Thus, minimum 35 passengers must be carried in the flight to make a profit.

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: