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Choose one of the projects to work on during this course. Possible projects include exploring the path of a submarine, creating a blog or website that demonstrates how to solve math problems, determining amount of prize money to be won and more. You will want to explore all the choices before arriving at the one you want to complete. Once you have chosen your project, you will find a solution to the mathematical issue and answer all questions asked in the appropriate submission format. Potential submission formats include a business letter, narrated PowerPoints, a blog, and more. Whatever format you choose, be sure your instructor can open/view.
How much money will you win?
Name________________
Directions: You have won a contest. You will get to choose one of three methods for
payment of your prize. Each method will be paid on a monthly basis. You will be asked
to draw a number between 1 and 30. This number will represent the number of months
you will be paid your winnings. You must be prepared to identify which of the three
payment methods you want at that point. The three methods are:
Method 1
month 1: $1000
month 2: $1000
month 3: $1000
month 4: $1000
etc.
Method 2
month 1: $100
month 2: $200
month 3: $300
month 4: $400
etc.
Method 3
month 1: $0.01
month 2: $0.02
month 3: $0.04
month 4; $0.08
etc.
Answer these questions:
Calculate what the payment would be for the twelfth month for each method.
Calculate what the total amount of the prize money would be for 12 months for
each method.
c) Decide which method of payment you want and explain why for any given number
of months drawn.
d) How many months will it take for your method of choice to pay off more total prize
money than the other methods? How much would your total prize money be at this
point?
a)
b)
As you will be required to state verbally why you are choosing the method you are,
please respond with a narrated PowerPoint.
The Money
By
Louis Freese
Concepts: Slope and Linear equations
Inept Industries
121 Klutz Court
Tripper, Idaho 32135
March 8th, 2004
Mathematics Department
DeVry University
120th and Pecos
Westminster, Colorado 80224
Dear Math Students:
I recently began working in the human resources department for Inept Industries. Boy
did the previous person in this role leave me a mess. Part of my job is to track and
calculate employee salaries. Due to the mess left behind by the previous occupant I
have run into some trouble. I am hoping you can help me out.
Apparently all the computer records were lost during the transition. All I have are a
few notes scratched on a piece of paper to guide me. We have three pay levels. Level 1
employees begin at $15,000. The notes say that in the third year the salary should rise
to $19,000. Level 2 employees start at $30,000 and according to the notes their salary
should rise to $36,000 in year 3. Finally, Level 3 employees start at $50,000 and the
notes say that they should be making $58,000 by the end of year 3. The only other
piece of information I have is that the growth of salary over time is supposed to follow a
linear growth pattern – whatever that means. The notes also say that once a Level 1
employee has worked long enough to reach a salary of $30,000 he or she should either
be promoted to Level 2 or fired. The same applies to Level 2 employees when they
reach $50,000 in salary. Can you help me out?
I need first to know what exactly is the rate of increase for each level of employee
over time. I would also like a mathematical model that will allow me to input the
number of years the employee has been working for us and give back their current
salary. Finally, I would like to know after how many years of working for us a Level 1
employee should expect to be promoted to Level 2 and after how many years of
working for us can a Level 2 employee be promoted to a Level 3. With this information I
can begin to bring some order back to Human Resources. Please fully explain how you
figured all this out. If my boss asks where these numbers are coming from, I want to
explain to him what you did.
I know that you can help me out of this predicament. Thanks for all of your help.
Sincerely,
Ima Bumbler
Project
Submission Type
What’s My Salary
Business Letter
How Much Will You Win?
Narrated PowerPoint, video, or other multimedia format.
To Sub or not To Sub
Business Letter or Narrated PowerPoint
Help Me, I Am Lost?
PDF, URL of Blog, Microsoft Publisher or similar application, URL of website, or other creative format.
Rubric
Category
Description
Points
Mathematics
50
The solution to the problem is supported by correct mathematical concepts and processes. The explanation for how the
solution was arrived it is clear and easy to understand.
Final Product
The final product is in the form required by the chosen project. It is visually interesting with appropriate graphics as
needed. It is neat and professional looking
30
Spelling and grammar are correct. All information used from outside resources is properly cited.
20
Grammar and
Mechanics
Total Points
100
