Lesson 2:____ Section 3.1 Exponential Functions

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Lesson 2:____ Section 3.1 Exponential Functions

The number of fish in a pond doubles every 3 years The number of fish in a pond doubles every 3 years. There are currently 6 fish. How many fish will there be in 21 years? After 39 years? After x years?

The volume of one e-coli bacteria is 0.6 x 10-18 m3 Under ideal conditions, the number of e-coli bacteria in a sample doubles every 20 minutes. If there are 10 bacteria initially, how many will there be after 3 hours? Now let’s generalize… How many will there be after after t hours? Fun Fact: The volume of one e-coli bacteria is 0.6 x 10-18 m3

abc To solve an exponential word problem… Ask yourself 3 QUESTIONS a. What did I start with? b. What number am I multiplying by? c. How many times am I multiplying by this number?

Moe deposits $10,000 into an account earning 8% interest compounded annually. How much will he have after 30 years? Larry deposits $10,000 into an account earning 8% interest compounded quarterly. How much will he have after 30 years? Curly deposits $10,000 into an account earning 8% annual interest compounded continuously. How much will he have after 30 years?

How much will he have after 30 years? Curly deposits $10,000 into an account earning 8% annual interest compounded continuously. How much will he have after 30 years?