Question

A movie theater has a seating capacity of 600 people. When ticket prices are $8 per person, every seat in the theater is filled. For every additional dollar charged, there are 12 vacant seats.

Express the number of people who attend the theater, N, as a function of the purchase price of a ticket, p.

Answer 1

To express the number of people who attend the theater, N, as a function of the purchase price of a ticket, p, we can use the equation N = 600 - 12(p - 8)

Step-by-step explanation:

To express the number of people who attend the theater, N, as a function of the purchase price of a ticket, p, we need to analyze the given information. We know that when the ticket price is $8 per person, every seat in the theater is filled, resulting in a seating capacity of 600 people. For every additional dollar charged, there are 12 vacant seats.

This means that for every $1 increase in ticket price, the seating capacity decreases by 12. So we can write the function as: N = 600 - 12(p - 8)