6.1 Exponential Growth and Decay Learning Objective: To determine the multiplier for exponential growth and decay, and to write and evaluate expressions.

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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)

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

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% growthb. 12% decay Ex 2 – Evaluate each expression for the given value of x.

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?

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 The value of the car depreciates by 19% each year. Write an exponential decay model and find the value of the car in 2012.

HW – 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…