Lesson 3.5Exponential & Logarithmic

Models

Homework Deal – Pick one of the following options:

1) Do 30 or so problems a night for the remaining 120 days of school

2) Do 1 problem this week, 2 the next week, 4 the following, 8 the next,…and so on for the remaining 26 weeks.

Exponential Growth Model:

0, baey bx

Exponential Decay Model:

0, baey bx

Used often in naturally occurring increases/decreases such as living organisms.

Gaussian Model:

c

bx

aey

2)(

Logistic Model:

rxbe

ay 1

Called the “bell curve” where most values occur at some number.

Can be used to model sales growth.

Logarithmic Model:

xbay ln xbay log

Used in models with factors of values, like Richter scale.

Example 1

Example 2

Problem Set 3.5