Growth or Decay?
Applying Exponential Equations
Initial Amount, Growth Factor, and Growth Rate
Writing Exponential Functions
100
Is the following growth or decay: f(x) = 2x
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
Use y = 250(1.2)t What is the initial amount?
What is 250?
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
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
Use y = 250(1.2)t What is the growth factor?
What is 1.2?
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?
300
What is the initial amount?
What is 1?
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 48, 555 People
300
Use y = 250(1.2)t What is the growth rate?
What is 20%?
300
The Hippityhoppity bunny decided to have a family reunion at the Magic Forest every year. 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
400
Is the following growth or decay?
What is growth?
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
y = 9.8(1.35)t What is the growth factor?
What is 1.35?
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
500
what is the initial amount?
Somewhere between 90 and 100.
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
y = 9.8(1.35)t What is the growth rate?
What is 35%?
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