Exponential and Logistic Modeling Objective: Students will be able to model exponential growth and decay graphically and algebraically.

Exponential Populations Using percentage Usually it is 1 + percentage this include the original number and increase by the percent 1 – percentage is percent less the original number

Finding Growth and Decay Rates Look at the base of the exponent, this will help to determine growth or decay, also find the percent of growth or decay A= 0.64% B.=1.42%

Finding Exponential Function R=.08 Sub into general equation and solve

Radioactive decay and Half Life Only thing that changes here is how you write the exponents, process is still the same Usually exponent is like a fraction

Example

Using the Calculator to find the Exponential Regression Type in data from table 3.9 Make a scatter plot We did line of best fit before Try to find the exponential Growth line of best fit

Exponential growth Looking at a graph not limit, but is there

Homework Pg 296 1,3,5,7,9,23,29,33,34 Honors 45