1. Lesson 2:____ Section 3.1 Exponential Functions

2. 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?

3. 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 m3

4. 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?

5. 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?

6. 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?