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?

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!