6.1 Exponential Growth and Decay

1. 6.1 Exponential Growth and Decay Learning Objective: To determine the multiplier for exponential growth and decay, and to write and evaluate expressions to model growth and decay situations. Warm-up (IN)

2. Learning Objective: To determine the multiplier for exponential growth and decay, and to write and evaluate expressions to model growth and decay situations. . Notes Exponential Function - multiplier time Final amount Initial amount rate the percent written as a decimal multiplier Decay - Growth -

3. Learning Objective: To determine the multiplier for exponential growth and decay, and to write and evaluate expressions to model growth and decay situations. Ex 1 – Find the multiplier for each rate of growth or decay. a. 9% growth b. 12% decay Ex 2– Evaluate each expression for the given value of x.

4. Learning Objective: To determine the multiplier for exponential growth and decay, and to write and evaluate expressions to model growth and decay situations. EX 3– An experiment starts with 100 bacteria and doubles every hour. Write a model for the # of bacteria and find the # after 8 hours. EX 4– You start a savings account with $1000 that pays 6.5% interest compounded yearly. What is the balance after 5 years?

5. Learning Objective: To determine the multiplier for exponential growth and decay, and to write and evaluate expressions to model growth and decay situations. EX 5– You bought a car for $18,000 in 2010. The value of the car depreciates by 19% each year. Write an exponential decay model and find the value of the car in 2012.

6. Out – Describe the difference between the procedures for finding the multiplier for a growth rate of 5% and a decay rate of 5%. Summary – Now, I can figure out… HW –