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?

Answer 1

the answer is D because the school pays 4 dollars

Answer 2

The domain will be 0 to 500. It will be all the integers from 0 to 500.

Explanation:

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.

We know that profit = revenue - expenses

Let 'x' be the number of tickets sold.

Equation is :
`f(x)=4x-1200`

So, the domain here will be 'x' value(which is the number of tickets sold)

Since the auditorium can accommodate 500 people, the domain will be 0 to 500. It will be all the integers from 0 to 500.