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?

The domain is all real numbers from negative 1,200 to positive 2,000
The domain is all integers from negative 1,200 to positive 2,000.
The domain is the integers from 0 to 500.
The domain is all real numbers from 0 to 500.

Question

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?

The domain is all real numbers from negative 1,200 to positive 2,000
  The domain is all integers from negative 1,200 to positive 2,000.
  The domain is the integers from 0 to 500.
  The domain is all real numbers from 0 to 500.

imstuck · Answer

the domain are the x values that are possible for this equation.  The y value is the cost and it is also the dependent variable.  It varies as the number of ticket sales goes up.  So the number of tickets sold is the domain.  Well, since there are only 500 seats, there can only be up to 500 as the domain.  Since you cannot sell a negative number of tickets, the domain is all the integers from 0 to 500.

secret-ninja · Answer

Thank you!