Background/Purpose:

As everyone is aware, the cost of education in this country is increasing. During this project you will calculate the tuition

of the remainder of your collegiate career.

Assignment:

(1) Using the Data provided, find the best fit exponential curve to model the cost of tuition.

(2) On your TI-84 press the 2nd button and then catalog; scroll down until you see DiagnosticOn; hit enter twice.

(3) Press STAT; then hit edit and input the years after 1990 as L1, and the tuition cost as L2.

(4) Press 2nd quit; then 2nd y= (in the upper left hand corner), and turn Plot1 On

(5) Press STAT; then arrow over to the right and go down to 0: ExpReg and hit enter.

(6) Using your equation predict tuition in each year of the remainder of your college career.

(7) Add up tuition costs for each year in the remainder of your career and find the total. In addition find the rates of

change in each year.

Report Format:

You are to submit one clearly written report of your findings. Your report must explicitly discuss how you determined your

formula for your linear function, and a verbal description of your findings as indicated in (6), and (7) above.

Your discussion should include your mathematical calculations. The calculations should be placed in the appropriate part

of your report along with the discussion/description (i.e. not simply tacked on as an extra page in the back).

Be sure to include in your report at an appropriate position

A neatly organized typed listing of tuition.

The graph containing your scatter plot of the data and the graph of your line (the one from ExpReg; this

should be done in Excel, see the Tutoring Center in the 3rd floor of the library for details)

Similar to your mathematical calculations, simply including the list of data and graph at the back of your report is not

sufficient or an appropriate position. Also, do not have a graph or data split between two pages.

The written portion of this paper must contain EXPLANATIONS of the following terms (how they relate to the project) as

well as DISCUSSIONS of your calculations:

Exponential Growth/Decay

Present Value

Future Value(s)

Average relative rate of change

Rate of Change in terms of the first derivative

In the written portion of the report answer the following questions. What is the extrapolated value of tuition for the

remaining years of your college career? What is the rate of change (in dollars and cents) for each of these years? What

will your total cost be? (Include costs from prior years as well in this total, use respective values into your equation)

Write your report in much the same was you would if completing an English composition class assignment. This report

must be double spaced, in 12 point Arial font. In other words, your report should look similar to the descriptive pages of a

Spring 2016 R. Moore

mathematical textbook. Readers of the report should be able to understand its purpose and meaning without

reference to any outside source (including this instruction sheet).

Some conventions you may not have used before, that are specific to writing mathematics

papers, are:

Variables and equations should be in italics. (Use the Equation Editor in Word)

Never start a sentence with a variable name.

Define all variables immediately before or after they first appear.

Always use standard math notation (look at equations in your book).

Center and number equations you wish to refer to later.

Use section headings.

Number and put captions on all figures/diagrams/photos Refer to them in your text.

Graphs and pictures should be placed within the text, not at the end of the paper and should have their axes

labeled.

Academic Year 2 Semesters of Tuition + Fees

1990-1991 $7,280

1991-1992 $7,960

1992-1993 $8,450

1993-1994 $9,320

1994-1995 $10,080

1995-1996 $10,080

1996-1997 $10,580

1997-1998 $12,510

1998-1999 $13,900

1999-2000 $14,420

2000-2001 $14,950

2001-2002 $15,510

2002-2003 $16,230

2003-2004 $16,780

2004-2025 $17,940

2005-2006 $18,830

2006-2007 $19,970

2007-2008 $21,200

2008-2009 $22,500

2009-2010 $23,900

2010-2011 $25,300

2011-2012 $26,600

2012-2013 $27,900

2013-2014 $29,900

Spring 2016 R. Moore

Student’s Name _____________________________________

Tuition Growth Project

(100 points)

Points Item Expected Below Expectations Unacceptable Score

4 pts Cover Page

Attractive, well

spaced.

Title, author(s), date

included.

Routine.

Could be improved.

Missing information.

8 pts Statement of

Purpose

Complete.

Clearly stated.

Easy to find.

Sketchy.

Incomplete.

Missing or

inappropriate.

8 pts Notation

Standard

mathematical

notation.

Some notation incorrect. Too much incorrect.

8 pts Grammar and

Spelling

Good grammar and

word choice.

Correct spelling and

punctuation.

Some misspelled words

and misuse of grammar.

Some punctuation errors.

Unacceptable and

unprofessional.

12 pts Model /

Equations

Correct choice of

model or formulas

Explanation of

assumptions

Some errors in model.

Some unexplained

assumptions

Poor, ineffective

model.

Little explanation of

assumptions.

15 pts Computations

Accurate calculations.

Appropriate use of

technology.

Minor algebraic errors.

Minor round-off errors.

Tech errors (rad vs deg)

Too many mistakes

or missing

computations.

15 pts Explanations

Correctly interprets

results.

Appropriate units.

Minor errors with respect to

interpretations of

results.

Unable to explain

calculations.

Unrealistic results.

10 pts

Graphs/

Diagrams

All relevant diagrams

are shown and

labeled.

Diagram not completely

accurate.

Some labels missing.

Serious errors with

diagrams or

missing.

10 pts Report Format Clearly written report,

as described.

Some deviations from

assigned format

Not written as a

paper.

10 pts Conclusion

Linked to statement of

purpose.

Weak link to statement of

purpose.

No relation to

statement of

purpose.

Total (out of 100 possible points) =

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