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Growth or Decay?
Applying Exponential Equations
Initial Amount, Growth Factor, and Growth Rate
Writing Exponential Functions
Negative and Zero Exponents
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

y=250(1.2)^t

What is the starting 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

100

Simplify: 

6tv^0

6t

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

y=250(1.2)^t

What is the growth factor/b value?

What is 1.2

200

The population of Baconburg starts off at 20,000, and grows by 13% each year. Write and solve an exponential equation to find the population after 10 years.

What is f(10) = 20,000(1.13)^10 and population of 67,891

200

Simplify: 

4^2x^-2


16/(x^2)

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

y=250(1.2)^t

What percent is y increasing by for each time period?

What is 20%

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

Simplify: 

4x^-2g^3

(4g^3)/(x^2)

400

Is the following growth or decay: 

f(x)=7*(0.94)^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

y=9.8(0.89)^t

What is the growth factor/b value?

What is 0.89

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^-2x^-5y^-9z^-3)^0

1

500

Is the following growth or decay:

f(x)=350*(1)^x

neither!

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(0.89)^t

What percent is y decreasing by each time period?

What is 11%

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 and solve 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

Simplify

(x^-2y^2)/(b^-4c^4)

(b^4y^2)/(c^4x^2)