A colony of 10,000 ants can increase by 15%

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Presentation transcript:

Objective - To solve problems involving exponential growth or decay functions. A colony of 10,000 ants can increase by 15% in a month. How many ants will be in the colony after 1 year?

A baby weighing 7 pounds at birth may increase in weight by 11% per month for the first 12 months. How much will the baby weigh after 1 year?

A deposit of $1500 in an account pays interest compounded annually. How much will be in the account after 8 years?

A population of 10 hamsters will triple every year for 4 years. What will be the population after 4 years? Percent Increase Growth Factor Population is 200% more than last year. Population is 3 times as much as last year.

Exponential Decay Functions A radioactive material decays at 10% per year. How much of the 12 pound material will be left after 20 years?

A car purchased for $24,500 will depreciate at a rate of 18% per year for the first 6 years. Write an equation and graph over the first 6 years. $30,000 $20,000 $10,000 1 2 3 4 5 6 7 8

Compare Growth and Decay Models Exponential Growth Exponential Decay $100 growth at 10% for 5 years. $100 depreciate at 10% for 5 years. 160 140 120 100 80 60 40 20 160 140 120 100 80 60 40 20 0 1 2 3 4 5 0 1 2 3 4 5

Classify each as exponential growth or exponential decay. 1) 4) Exponential Growth Exponential Decay 2) 5) Exponential Growth Exponential Decay 3) 6) Exponential Growth Exponential Growth

Find the value of a downtown office building that cost 12 million dollars to build 20 years ago and depreciated at 9% per year.