Exponential Growth & Decay (Short Version)

If the decay rate is 20%, which of the following represent the growth factor?

• 0.2

• 0.8

• 1.2

• 1.8

Which of the following functions shows an initial amount of $15 and an increase of 35% each year after x years?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

 A flea medicine breaks down at a rate of 20% per hour. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal after x hours?

Suppose a culture of bacteria begins with 5000 cells and decreases by 30% every 3 years. Write an equation that represents this situation for 17 years.

• y=5000(0.7)^17/3

• y=30(5000)^17/3

• y=5000(1.3)¹⁷

• y=5000(.7)¹⁷

This is an example of:

• Linear Growth

• Linear Decay

• Exponential Growth

• Exponential Decay

Suppose a culture of bacteria begins with 5000 cells and has a half life of 10 years. Write an equation that represents this situation after 37 years.

• y=5000(.5)^37/10

• y=5000(.5)^10/37

• y=5000(.5)³⁷

What is the domain of this exponential function?

• All Real Numbers

• x>0

• y>0

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth

• Decay

What is the equation of the asymptote?

• x-axis

• y-axis

• x=0