Modeling Project 4 GeoGebra
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Southeast Missouri State University *
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MISC
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
docx
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Unit 4 (Chapter 8 & 9) Modeling Project
The
objective
of this project is to use a spreadsheet
program to test correlation strength and to create and
utilize mathematical functions which model relationships
between pairs of quantities, especially relationships which
demonstrate linear growth/decay.
An important component of this project is utilizing the free
online mathematical software called GeoGebra.
Although
this software is really easy to use and available in many
different languages, please note that step-by-step
directions are included (in English) so that using GeoGebra
does not prohibit you/your group from completing this
project.
Definitions and helpful examples related to this project are
provided in Chapters 8 & 9 of our text/notes.
Specifically:
8A – Growth: Linear vs. Exponential
9A – Functions: The Building Blocks of Mathematical
Models
9B – Linear Modeling
All required charts/graphs
must
be created within
GeoGebra.
Handwritten or hand-drawn charts/graphs will
not be accepted.
Answers to the following questions must be compiled into
a single word-processing document (Microsoft Word, etc.),
including necessary explanatory text and supporting
charts/graphs.
Explanations and discussions of answers
must be in complete, grammatically correct sentences.
The final document must be neat and organized, with
answers to individual problems clearly labeled.
Projects
will be submitted in Canvas.
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PLANNING A PARTY
For this project, you are in charge of planning a housewarming celebration.
Your best friend just bought a house and YOU are the planning committee!
The celebration requires food, beverages, music, set up, and clean up.
Below are two different event planning companies you found on the
internet.
If your party is from 7:00pm – 11:00pm, which event company
will be most cost effective?
Phyllis’s Perfect Party Planning
Flat rate of $275: includes set up and clean up, and catering services (food
and beverages). Music provided by Danny’s DJ service which charges
$40/hour.
Glen’s Great Galas
Flat rate of $225: includes DJ music, set up and clean up.
$60/hour for catering services.
PHYLLIS’S PPP
GLEN’S GG
Hours (x)
Cost (y)
Hours(x)
Cost (y)
0
$0
0
$0
1
$40
1
$60
2
$80
2
$120
3
$120
3
$180
4
$160
4
$240
Graph
each equation on the same set of axes using GeoGebra.
https://www.geogebra.org/
Click on Start Calculator (in Purple)
Click Settings button (top right in graph/on grid)
Click Settings again
Under the Basic tab, change the dimensions:
xMin: 0; xMax: 5; yMin: 0, yMax: 500
Close Settings box (X)
Type/enter ordered pairs for Phyllis (Input… beside the + sign)
Notice that when you open parentheses, they are automatically closed
Press Enter after each ordered pair
You should have points A-E plotted
Find the Best Fit Line for Phyllis
Click Tools (under the Calculator button in Purple)
Click Best Fit Line
Click Point A on your graph, then click point B on your graph
(A line should be drawn to connect all points)
Click the Algebra button (the Calculator icon in Purple)
Notice the equation given for the Best Fit Line
Y=
Enter ordered pairs for Glen (Input… beside the + sign)
Find the Best Fit Line for Glen
Click Tools icon (beside the Calculator button in Purple)
Click Best Fit Line
Click Point F on your graph, then click point G on your graph
(A line should be drawn to connect all points)
Click the Algebra button (the Calculator icon in Purple)
Notice the equation given for the Best Fit Line
Y=
Find the Intersection Point
Click Tools icon (beside the Calculator button in Purple)
Click Intersect
Click on the first line (it highlights)
Click on the second line (it highlights)
Notice point K shows up at the intersection point on the graph
Click the Algebra button (the Calculator icon in Purple)
Notice the coordinates given for the intersection point
(_____, _____)
***To zoom in/out on the graph, use the scroll button on your
mouse.***
Answer the following questions in complete sentences as thoroughly as
possible.
Why is only Quadrant 1 necessary? Explain.
What are the y-intercepts (ordered pairs) on the graph? What do the y-
intercepts represent?
What is similar about both lines, and what is different about both lines?
(Not the ordered pairs, but the lines.)
Is there a time when both companies would cost exactly the same? If so, at
how many hours and at what cost? Explain your answer.
How would Phyllis’s Perfect Party graph change if music was not required?
Include this line on your graph.
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