Answer:

Step-by-step explanation:



The Area of a Square is the square of the measure of one side of the square.
Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.
The given expression is:

Rewrite the expression as:

Recall the binomial expansion:

Substituting a=10x and b=8, it follows that the expression becomes:

Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.
Answer:
The max. revenue is $57,121.
This happens with 239 passengers.
The price of the ticket is $239 per person.
Step-by-step explanation:
Let the variable "P" denote the number of passengers.
If P=180, then the ticket cost is $298/person. Then the price is reduced by $1 for each additional person.
In general, if P=(180+x), then the ticket cost becomes (298-x) per person.
The revenue can be defined as the ticket cost multplied by the number of passengers:

We can derive R and equal to zero to maximize the function.

The amount of passengers is:
The price of the tickets is

The revenue is: