ORC Resource Number #10177Expand All
Maximizing Profits on Donut Sales

http://www.ohiorc.org/pm/math/richproblemmath.aspx?pmrid=70
PROFESSIONAL COMMENTARY 

Students determine a plan to maximize profit on a donut sale using data provided. The parabolic graphs of selling price vs. income and selling price vs. profit are used to explore intercepts, symmetry, and the vertex. The graphs and table allow for a side-by-side comparison of linear and quadratic functions. The goal is for students to link representations of data through tables and graphs and to see the connection to algebraic solutions. A quadratic rule is generated using the idea that income is selling price multiplied by number sold. This problem is suited to an introduction of quadratic functions after a study of quadratic equations. An activity sheet and solutions are included. This mathematically rich problem was developed for the Ohio Resource Center to accompany the Mathematics Program Models for Ohio High Schools proposed by the Ohio Department of Education. (author/sw)

OHIO STANDARDSExpand All
Mathematics Academic Content Standards
Patterns, Functions and Algebra Standard
NATIONAL STANDARDSExpand All
Principles and Standards for School Mathematics
Algebra Standard
Resource Information
RESOURCE TYPE
Rich Problem, Inquiry, or Exploration
STANDARDS ALIGNMENT
Grades 8 - 12
TOPICS
Mathematics --
Algebra;
Nonlinear functions;
Quadratic equations;
Representation
KEYWORDS
quadratic functions
Author: Teresa Graham
Publisher: Ohio Resource Center