Is the following exponential function below exponential growth or decay? And why?
f(x)=4(.75)^x
What is Exponential Decay
Because (b)<1
100
Mason takes 400 mg of Advil for a headache. Every hour, the Advil dissolves 18%. Write a function that models the amount of Advil in Mason's body.
What is F(n)=400(1-.18)^n
100
Using f(x)=200(1.5)^x
State the equation with a transformation of right 3 and down two.
What is f(x)=200(1.5)^(x-3) -2
100
Growth Model Formula
What is A(1+r)^n
100
Your parents invest $1000 in a stock that increases 4% every year. How much will the stock be worth after 12 years?
What is 1601.03
200
Is the following exponential function below exponential growth or decay? And why?
f(x)=4(7/5)^x
What is Exponential Growth
Because (b)>1
200
In 2000, there were 670 cell phone subscribers in the small town of Homer. The number of
subscribers increases by 65% per year after the year 2000. Write a function to represent this model.
What is f(n)=670(1+.65)^n
200
Using f(x)=2(.75)^x
State the equation with a transformation of right 7 and up 4 two.
What is f(x)=2(.75)^(x-7) + 4
200
Decay Model Function
What is A(1-r)^n
200
FREE SPACE
What is If it's FREE, it's for MEEE!!!
300
Given y=2(1.65)^x, Identify if the function is growth or decay. Then Identify the Growth/Decay Rate.
What is Exponential Growth rate is .65 or 65%
300
You invest $450 in a stock that increases in value at an annual rate of 15% per year. Write a function that models the value of the stock over 15 years.
What is f(15)=450(1+.15)^(15)
300
Using f(x)=177(1.07)^x
State the equation with a transformation of down 11.
What is f(x)=177(1.07)^x -11
300
The number represented by (1+r) or (1-r) in the exponential growth or decay formulas represents what?
What is Growth/Decay Factor
300
The current population of the panda in Alaska is 2503. It is decreasing by 11% each year. What will be the population of pandas in 2022?
What is 1398
400
Given y=2(3/5)^x, Identify if the function is growth or decay. Then Identify the Growth/Decay Rate.
What is 2/5 or .40 or 40%(Decay)
400
Billy sold a football trading card for 306,000 in 2002.Since then, the value has increased by 2% each year. What will the card be worth next year(2018)? Write the function that represents this model.
What is f(16)=306,000(1+.02)^(16)
400
Using f(x)=2(.75)^x
State the equation with a transformation of left 3 and down one.
What is f(x)=3(.75)^(x+3) -1
400
The "A" in the exponential growth and decay formulas represent what?
What is Initial/Starting amount
400
Sarah bought a tv in 1995 for $550. The value of the tv depreciated 7% each year. What was the cost of the tv in the year 2001?
What is $355.84
500
Given y=100(.47)^x, Identify if the function is growth or decay. Then Identify the Growth/Decay Rate.
What is .53 or 53% (Decay)
500
Each year Hood College hosts a tennis tournament. The tournament starts with 128 participants. During
each round, half of the players are eliminated. How many players remain after 5 rounds? Write a function that represents this model.
What is f(5)= 128(1-.50)^5
500
Using f(x)=30(.5)^x
State the equation with a transformation of right 7 and up
twenty-two.
What is f(x)=30(.5)^(x-7) +22
500
What is the initial amount (When x=0)called on a graph?
What is y intercept
500
John bought a trading baseball card in 1980 for $280. The value of the card increases 3% each year. What will the price of the car be in 2030?