Question

The hourly operating cost of a certain plane, which seats up to 295 passengers, is estimated to be $3770. If an airline charges each passenger a fare of $100 per hour of flight, find the hourly profit P it earns operating the plane as a function of the number of passengers x ...?

Answer 1

The hourly profit of an airline operating a plane can be calculated by subtracting the operating cost from the revenue earned from passengers.

Step-by-step explanation:

The hourly profit of an airline operating a plane can be expressed as the difference between the revenue earned from passengers and the operating cost of the plane.

The revenue earned from passengers can be calculated by multiplying the fare per passenger by the number of passengers. In this case, the fare is $100 per hour of flight, and the number of passengers is represented by x.

The operating cost of the plane is given as $3770 per hour.

Therefore, the hourly profit P can be expressed as:

P = (fare per passenger) * x - (operating cost of the plane)

Substituting the given values:

P = $100 * x - $3770

Answer 2

To find the equation, let "h" represent the hours, alright? So it makes $100 per hour (100 x h) and it costs $3770 per hour (3770 x h) to operate.