High School Mathematics Problems from Alaska
A database
of lessons and units searchable by content and cultural standards,
cultural region and grade level. More units will be available soon.
You can use Acrobat Reader to look at the PDF version of the Cover
Sheet
for the Units and SelfAssessment
for Cultural Standards in Practice.
Writing
an Equation:
Fundraiser
James H. Grey
jgrey@northstar.k12.ak.us
MS
Word Download
Standards:
Functions and Relationships.
Performance
Standards:
A4.4.2, A4.3.4, A4.3.5
Concepts:
Representing relationships between variables by writing,
creating, and solving linear equations, and using tables and
graphing.
Carnegie
Chapter:
Proportional Reasoning and Percentages.
Overview:
Focusing on writing and using the results of a linear equation
and graphing a linear equation.
Fundraiser  Ticket Sales
Problem
7
The Junior Class
has decided to show movies in order to raise money for the prom. They
found that the rights to show a movie for a weekend cost $325 and
feel that $5 is a fair admission price.
Please answer all
questions in the form of complete sentences.
 How much profit will be made
if they have:
 100 paying customers?
 264 paying customers?
 512 paying customers?
 40 paying customers?
 What methods did you
use to calculate the profit?
 What does your answer
from part D mean?
 How many customers are needed
for the class to "break even?"
 How did you calculate this?
 Write an equation for profit
based upon the number of people who came to the show.
 Using the formula that you
just wrote, how much profit will be made if they have:
 214 paying customers?
 673 paying customers?
 169 paying customers?
 The Junior Class needs to
make $900 in order to finish paying for the prom. How many customers will
they need in order to make their goal?
 What if they need $2000?
 What if they need $3000?
 What if they need $5000?
 One year, a group decided
to show the movie, Seven Years in Tibet, and they had a very poor turnout.
(In fact, the turnout was so poor that the group decided to cancel the final
screening.) Assuming that they paid the standard rate for the movie, and had
three screenings with twelve, three, and five customers:
 What was the final outcome
for the group? Be sure to justify your answer.
 Besides the financial
situation, why else might the group be frustrated with this outcome?
 Complete the following table
that uses information from the above problems:
Labels



Units



Expressions




214



673



169




0



2000



3000



5000


20


 Using the information from
the table above graph it on the axes below. Be sure to include all labels.
 Using the graph, estimate:
 How many customers they
will need in order to get a profit of $1000.
 How many customers they
will need in order to get a profit of $4000.
 The profit generated
by 250 paying customers.
 Assume that the theater can
hold 200 people. What is the minimum number of screenings that you will need
in order to make your goal for each part of problem 5?
a)
b)
c)
d)
 A group of six people sneaks
into the movie through the back door, taking the last available seats. How
much money will the class lose? (Be sure to justify your answer.)
Table of
Contents
For the Teacher's Guides, please email Alaska
Native Knowledge Network
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." 