A drama club is selling tickets to the spring musical. The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The drama club has a goal of selling at least $1000 worth of tickets to Saturday's show. a) Write a system of inequalities that can be used to model this scenario. b) If 50 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the club meets its goal? Justify your answer.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A drama club is selling tickets to the spring musical. The auditorium holds 200 people.
Tickets cost $12 at the door and $8.50 if purchased in advance. The drama club has a
goal of selling at least $1000 worth of tickets to Saturday's show.
a) Write a system of inequalities that can be used to model this scenario.
b) If 50 tickets are sold in advance, what is the minimum number of tickets that must be
sold at the door so that the club meets its goal? Justify your answer.
Transcribed Image Text:A drama club is selling tickets to the spring musical. The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The drama club has a goal of selling at least $1000 worth of tickets to Saturday's show. a) Write a system of inequalities that can be used to model this scenario. b) If 50 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the club meets its goal? Justify your answer.
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