Regents Exam: Algebra I August 2016 (Problem 35 of 37)

The video tutorial explains how to model a ticket-selling scenario for a drama club using a system of inequalities. The club aims to sell at least $1000 worth of tickets for a show in an auditorium that holds 200 people. Tickets are priced at $12 at the door and $8.50 in advance. The tutorial guides viewers through setting up inequalities to represent the scenario and solving for the minimum number of $12 tickets needed when 50 tickets are sold in advance.

Explain how the system of inequalities is set up for this ticket sales scenario.

What is the maximum number of people that the auditorium can hold?

What are the two types of tickets being sold by the Drama Club?

How much money does the Drama Club aim to raise from ticket sales?

If 50 tickets are sold in advance, how many more tickets must be sold at the door to meet the fundraising goal?