Identify that Rate
Is the following exponential function below exponential growth or decay? And why? f(x)=4(.75)x
What is Exponential Decay Because (b)<1
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
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
Growth Model Formula
What is a(1+r)n
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
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
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
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
Decay Model Function
What is a(1-r)n
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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%
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
Using f(x)=177(1.07)xState the equation with a transformation of down 11.
What is f(x)=177(1.07)x -11
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
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)
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
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
The "a" in the exponential growth and decay formulas represent what?
What is Initial/Starting amount
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
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)
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
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
What is the initial amount (When x=0)called on a graph?
What is y intercept
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?
What is $1227.49