Growth or Decay?
Writing Exponential Functions
Applying Exponential Functions
Interpreting Graphs
General
100
Is the following growth or decay: f(x) = 2x
Growth
100
Cyril's new Tesla truck was $50,000 when he first bought it. Its value decreased by 25% every year.
Write an exponential equation
y=50000(0.75)x
100
The equation f(x) = 422,000(1.12)x represents the population of a city every year. In 15 years, what will the population of the town be?
What is about 2,309,845
f(x) = 422,000(1.12)15
100
This is the formula for exponential functions
What is a(b)x?
100
Given the equation:
y=867(1.07)^x
what is the percent of growth or decay?
State if it is growth or decay as well as the percent.
7% Growth
200
Is the following growth or decay: f(x)=100(0.5)x
Decay
200
Amara invests $1,200, which goes up at a rate of 20% every year.
Write an exponential equation.
f(x)=1,200(1.2)x
200
The following equation represents the amount of Elephants over the course of a number of years:
f(x) = 20,000(0.85)x
If they started taking the data in 2010, how many elephants will there be in 2020?
What is about 3,937
f(x) = 20,000(0.85)10
200
What is the domain for the given function?
-1<=x<=10
300
Is the following growth or decay?
Decay
300
Mr. Miller decides he wants to grow a beard. His starts measuring when his beard is 2 cm long. Every week, it grows by 5%.
Write an exponential equation.
y=2(1.05)x
300
A bunny family totaled 154 in 2018. The family grew at an annual rate of 1.032. How large will the family be 2025?
What is about 192
f(x) = 154(1.032)7
300
What is the range of the given function
y=3(5)^x-2
y > -2
400
Is the following growth or decay?
An electrical store calculates that the number of DVD players sold is decreasing by 13% per year.
Decay
400
Zion's only made 24 three pointers when he was in college. He's going to practice and improve his shots by 15% every year.
Write an exponential equation.
y=24(1.15)x
400
The fish in Lake Washington were declining at an annual rate at 1.5%. Their current number is estimated at 2500. How many fish will there be 20 years from now?
What is about 1,848 fish
y = 2500(.985)20
400
What is the equation of the asymptote for the given function:
y = 2(5)^x+7
y = 7
400
The population of a town is declining at a rate of 6%. If the current population is 12,426 , predict the population in 10 years.
6693 people
500
The population of an ant colony increases at a rate of 44% per week.
Growth
500
Lamar purchases some stock at the value of $20 a share. The next day, that stock was down to $8, and on the second day, it was wroth $3.20.
Write an exponential equation.
y=20(0.4)x
500
Serena bought a laptop 4 years ago for $1,024. She knows it decreases in value by 20%.
How much is it worth now?
What is $419.43
y=1024(0.8)4
500
Write the exponential equation from the table:
y=6(1/3)^x
500
Given the equation:
y=9,562(.88)^x
what is the percent of growth or decay?
State if it is growth or decay as well as the percent.
12% Decay