Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

8.2.4 Solving a Real-World Problem Using Quadratic Equations

Algebra 18.2.4 Solving a Real-World Problem Using Quadratic Equations

Search for key terms or text.

Cool Down

A movie theater models the revenue from ticket sales in one day as a function of the ticket price, pp. Here are two expressions defining the same revenue function.

p(1204p)p(1204p)

120p4p2120p4p2

1.

According to this model, how high would the ticket price have to be for the theater to make $0 in revenue? Be prepared to show your reasoning.

2.

What equation can you write to find out what ticket price(s) would allow the theater to make $600 in revenue?

Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.