Study Guide for Exponential Models (edited 2/27/2002)


Reading from Supplementary Online Text

Textbook Sections - Chapter 4

Exponential Functions by Examples (Worked Out Solutions)

Chapter Challenge Problem(s)

In Class Workshop: Exponential Model Workshop

Interactive Mastery Practice Tests / Homework with solutions (Self-Assessemnt Interactive Learning Homework Exercises)

Flash Card:
Graphs of Exponential Functions:

Table of Values:
The ratio of successive values of the function is a constant
 
 
Cost, C in $ 144 207.36 298.6 429.98
Quantity, n 2 4 6 8

Word Problem Statement:

Keywords: Exponential, constant percent rate, percent growth or decline continuous rates, Monetary growth (maybe a clue), nominal rate, annual percent rate, etc.

Also rate that doubles, triples, halves, etc.

(need 2 points to determine the formula)

The y-intercept is (0, P0

Formula:

Model or .
 
Periodic Rate Continuous Rate Equivalence Conversion Formula

Growth

Decline

Investment Formula: B is balance of Investment 
Periodic Rate:   and
Continuous Rate: 

--------------- oooooooOO Extra OOooooooo------------------

The Linear Model is used by almost every business because it is a simple way to see trend or to simplify more
complex mathematical models. It is also the easiest to solve for the inverse of a function. In effect you only need
2 points to find the formula for a linear model.

Video Simulation Game