Growth or Decay?
Writing Exponential Functions
Applying Exponential Functions
Logarithms
Potpourri
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 0.75 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 2,309,844
f(x) = 422,000(1.12)15
100
Solve for x:
log4(2x) = 2
x = 8
100
This is the formula for exponential functions
What is f(x) = a(b)x?
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 1.2 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
Condense the following expression into a single logarithm:
log(x) - log(y) + log(z)
log((xz)/y)
200
This animal is the most common cause of power outages in the United States.
Squirrel
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
Expand the following as much as you can:
log(x2y3z6)
2log(x) + 3log(y) + 6log(z)
300
This country eats more macaroni and cheese than any other.
Canada
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 1,847 fish
y = 2500(.985)20
400
Solve for x:
log3(4x - 1) = log3(7)
x = 2
400
Cordozar Calvin Broadus Jr. is better known by what name?
Snoop Dogg
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, but she doesn't remember how much it cost. But right now, she knows it's worth $1,024. She knows it decreases in value by 20%.
How much did she buy it for?
What is $2500
1,024=b(0.8)4
500
Solve for x:
log2(8x + 3) - 6 = -4
x = 1/8 = .125
500
This letter was the last one added to the English alphabet.
J