Applications of Exponential Functions
Key Questions

Example:
John tells you a secret. You see no harm in telling Bob and Rob .
After this, 4 people know the secret (John, you Bob and Rob). Suppose that both Bob and Rob decide to tell the secret to two new people.
After the third "round" of indiscretion, eight people will know the secret.
If this pattern of spreading the secret continues, how many people will know the secret after 10 such "rounds"?

If halflife of a certain quantity
#Q(t)# is#h# , then we can write#Q(t)=Q(0)(1/2)^{t/h}# .
Example
Suppose that a certain radioactive substance has a halflife of 20 years. If you initially have 100 g of this substance, then find the quantity function
#Q(t)# of this substance after#t# years.Since
#Q(0)=100# and#h=20# , we have#Q(t)=100(1/2)^{t/20}# .
I hope that this was helpful.

Answer:
Population growth
Explanation:
Population growth such as bacteria growth.
Decay such as radioactive decay.
Questions
Exponents and Exponential Functions

Exponential Properties Involving Products

Exponential Properties Involving Quotients

Negative Exponents

Fractional Exponents

Scientific Notation

Scientific Notation with a Calculator

Exponential Growth

Exponential Decay

Geometric Sequences and Exponential Functions

Applications of Exponential Functions