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A school puts on a play. The play costs $1,200 in expenses. The students charge $4.00 for tickets. There will be one performance of the play in an auditorium that seats 500 people. What is the domain of the function that shows the profit as a function of the number of tickets sold?
A. The domain is all real numbers from negative 1,200 to positive 2,000
B. The domain is all integers from negative 1,200 to positive 2,000.
C. The domain is the integers from 0 to 500.
D. The domain is all real numbers from 0 to 500

Respuesta :

mauricioalessandrell

Answer:

C. The domain is the integers from 0 to 500.

Step-by-step explanation:

Hi there!

First, let´s find the function:

Let y be the profit and x the number of people that will go to the play.

The profit will be the number of people that bought a ticket multiplied by the cost of the ticket minus the expenses:

y = 4.00 x - 1200

The domain is the set of values that the variable x can be.

Since x represents the number of people that bought a ticket, x can´t be greater than 500 because the auditorium only has 500 seats. x must also be an integer since x is the number of people. You can´t have one and a half people.

Then, the correct answer is C:

The domain is the integers from 0 to 500.

Have a nice day!

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