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.

What is the maximum number of people the auditorium can hold for the spring musical?

• 150 people

• 300 people

• 200 people

• 250 people

What is the Drama Club's financial goal for ticket sales for Saturday's show?

• $800

• $1000

• $900

• $1100

Which variable represents the number of $12 tickets sold?

• Variable Y

• Variable B

• Variable A

• Variable X

What inequality represents the total number of tickets sold?

• X + Y < 200

• X + Y > 200

• X + Y ≤ 200

• X + Y = 200

How many $12 tickets must be sold at the door if 50 tickets are sold in advance?

• 45 tickets

• 40 tickets

• 48 tickets

• 50 tickets