A boathouse costs $2800 a month to operate, and it spends $750 each

month for every boat that it docks. The boathouse charges a monthly fee of

$900 to dock a boat. If nis the number of boats, which equation represents

the profit function of the boathouse?

Answer: Profit (n) = 150 n - 2800

Step-by-step explanation:

Hi, to answer this question we have to multiply the number of boats (n) by the revenue for each boat docked ($900) minus the cost of each boat docked ($750) and then, subtract the operation cost ($2800).

Mathematically speaking

Profit (n) = (900 - 750) n - 2800

Simplyfiyng:

Profit (n) = 150 n - 2800

Where:

n = number of boats

Feel free to ask for more if needed or if you did not understand something.

P (n) = 150n-2800

Step-by-step explanation:

The fixed cost to operate the boathouse is $2800/month. It also has a cost of $750/month for every boat it docks.

If n boats are docked, then the total monthly cost is expressed as

C = 2800+750n

The boathouse charges $900/month for every boat docked. The revenue for n boats will be

R = 900n

The profit function can be constructed by subtracting revenue and cost

p (n) = 900n - (2800+750n)

p (n) = 150n-2800