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Growth or Decay?
Applying Exponential Equations
Writing Exponential Functions
Key Aspects
100
Is the following growth or decay: f(x) = 2^x
What is growth
100

The population in the town of Huntersville is presently 38,300. The town grows at an annual rate of 1.2%. Find the number population of the town after 9 years.

Approximately 42,640 people

100
Write an exponential growth function to model the situation. A population of 422,000 increases by 12% each year.
What is f(x) = 422,000(1.12)^x
100

The horizontal asymptote of f(x)= 3(2)^x +4

What is +4?
200
Is the following growth or decay: f(x)=100*(0.5)^x
What is decay
200

$1,200 is invested at an annual rate of 3.2%. How much money will the account have after 12 years?

$1751.21

200
The population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after 10 years.
What is f(10) = 20,000(1.13)^10 and population of 67,891
200

The a-value of an exponential function?

What is the y-intercept?

300
Is the following growth or decay: f(x)= 100*(1.4)^x
What is growth
300
The population in the town of Deersburgh is presently 42,500. The town has been growing at a steady rate of 2.7%. What will the population of the town be in 5 years?
Approximately 42, 499 People
300
The Hippityhoppity bunny decided to have a family reunion at the Magic Forest every 5 years. During the second reunion the family discovered that the number of family members was 154 and was growing at an annual rate of 3.2%. Write an equation to model the growth of the bunny family.
What is f(x) = 154(1.032)^x
300

The y-intercept of 3(2)^x +4. 

Don't forget transformations

What is 7?

400

Is the following growth or decay: f(x) = 7 (1-0.06)^x

What is decay?

400
The value of a car was $22,000 when it was purchased. They car depreciates at a rate of 19% per year. How much will the car be worth in 8 years?
$4,076.64
400
The fish in The Magic Forest Lake were declining at an annual rate at 1.5%. Their current number is estimated at 2500. Write an equation to model the decreasing number of fish.
What is y = 2500(.985)^x
400
Simplify: ( (4^-2)(x^-5)(y^-9)(z^-3) )^0
1
500

Is the following growth or decay: f(x) = 350 (1+0.25)^x

What is growth?

500
The value of a stock when purchased is $10 a share. However, over the past 5 days the price went down at a constant rate of 4%. How much is the stock worth now?
$8.15
500
The squid in The Magic Forest Lake were declining at an annual rate at 5.5%. Their current number is estimated at 50,000. Write an equation to predict the number of squid in the lake in 10 years.
What is f(10) = 50000(.945)^10 and 28,398 squid
500
( (x^-2)(y^2) ) / ( (b^-4)(c^4) )
( (b^4)(y^2) ) / ( (c^4)(x^2) )