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Miscellaneous
Applying Exponential Equations
Initial Amount and Growth and Decay 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
Use y = 250(1.2)^t What is the initial?
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

Use y = 98(.8)^t What is the decay rate?

What is 20%

200

A YouTube channel starts with 50 subscribers. Each day, the number of subscribers triples. Write a function to model the number of subscribers, S, in terms of time, t. 

What is 

S(t)=50(3)^t

200

Simplify: 

(4^2)(x^(-2))

16/x^2

300

Is the following function linear or exponential? 

{(-5,18),(-4,12),(-3,6),(-2,0),(-1,-6)}

What is a linear function

300

The population in the town of Deersburgh is presently 2,592. The town has been doubling each year. What will the population of the town be in 3 years?

What is 20,736 people

300
Use y = 250(1.2)^t What is the growth rate?
What is 20%
300
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
300

Simplify: 

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

(4g^3) / x^2

400

Is the following function linear or exponential?

{(-1,1),(0,4),(1,16),(2,64),(3,256)}

What is an exponential function

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 population of Baconburg starts off at 20,000, and grows by 13% each year. Write an exponential growth model and find the population after t years. 

What is 

f(t) = 20,000(1.13)^t

400

Simplify: 

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

1

500

Find the average rate of change of the function 

y=4(2)^x

over the interval

1<=x<=3

What is 12

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(.975)^t What is the decay rate?

What is 2.5%

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 t amount of years. 

What is

f(t) = 50000(.945)^t

500

Simplify: 

(x^-4y^3)/(3x)^-2

(9y^3)/x^2