High School Mathematics Problems from Alaska

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Writing an Equation:
Fundraiser Choosing a Distributor

James H. Grey
jgrey@northstar.k12.ak.us

Standards: Functions and Relationships.

Performance Standards: A4.4.2, A4.3.4, A4.3.5, A4.4.3

Concepts: Representing relationships between variables by writing, creating, and solving linear equations, graphing them, and finding the intersection of the two.

Carnegie Chapter: Making and Selling Shirts.

Overview: Focusing on writing and using the results of a linear equation and graphing a linear equation.

Fundraiser - Choosing a Distributor

Problem Eight

The Junior Class has to choose between two different distributors who sell the rights to the movies and mail them to the high school.

Reel2Real sells the movies for \$300 each and charges a once-a-year distribution fee of \$400.

Cheap Cinema sells the movies for \$325 each with no additional fees.

1. How much would the following numbers of movies cost using Reel2Real:
1. 3

2. 15

3. 30

1. How much would Cheap Cinema charge for the following number of movies:
1. 3

2. 15

3. 30

1. If the Junior Class has \$1300 to spend on movies,

1. how many could they get from each company?

2. What if they have \$6000?

1. Complete the following table that uses information from problems 1 through 3:
 Labels Units

1. Write the expression for the cost of getting movies from Reel2Real.

1. Write the expression for the cost of getting movies from Cheap Cinema.

1. Using the information from the table in problem 4, graph the data for the cost of dealing with Reel2Real. Connect the points.

1. Do the same for the cost of dealing with Cheap Cinema on the same graph.

1. Using the graph above, for what number of movies is the cost of dealing with the two companies the same? Explain how you came to that conclusion.

1. What factors should the Junior class consider when choosing between the two companies. Why?

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Handbook for Culturally Responsive Science Curriculum by Sidney Stephens
Excerpt: "The information and insights contained in this document will be of interest to anyone involved in bringing local knowledge to bear in school curriculum. Drawing upon the efforts of many people over a period of several years, Sidney Stephens has managed to distill and synthesize the critical ingredients for making the teaching of science relevant and meaningful in culturally adaptable ways."

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