Key Features Expon. f(x)'s
Growth or Decay
Surprise Me
Percent Rate
Word Problems
100
If, y=abx, What are the parameters and what do they represent?
a=initial amount or may say y-intercept
b= growth or decay FACTOR
100
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1.
100
A bunny population doubles every 6 months. If the starting population is 10, how many will you have after 3 years? What is the initial population? What is the growth factor?
initial population = 10
growth rate = 2
100
What is the percent growth/decay rate?
y=5(0.6)^x
40% decay rate
100
What is the rate of decay?
2243 in 2010
Rate of decay is 0.5%
200
What is the y-intercept, growth factor, and growth rate for the function f(x)=4(3)x
y-intercept: (0, 4)
growth factor= 3
growth rate of 200%
200
f(x)=0.25(1.3)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Growth
30%
200
In exponential functions, when b>1 this will cause an exponential growth or decay? Name your own growth factor and then name its growth rate.
Exponential growth
200
What is the rebound percentage if a golf ball is dropped from a height of 3 meters and has a height of 2 meters after the first bounce? Round to 1 decimal place.
66.7%
200
What will be the cost in 17 years? Round your answer to the nearest dollar.
$32,313
300
What is the y-intercept and equation for the curve?
y-intercept = (0, 1)
EQ: y = 2x
300
f(x)=10(.93)x
Does this function represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay
7%
300
f(x)=0.10(1.5)x
Does this functions represent exponential growth or decay? Explain why.
What's the growth/decay factor?
What is the growth/decay rate?
Exponential Growth since b > 1
Growth factor of 1.5
Growth rate of 50%.
300
What is the percent growth/decay rate?
y=4(0.01)^x
99% decay rate
300
16,941 people
400
What's the growth factor and the exponential equation.
growth factor of 2
EQ: y = 5(2)x
400
Complete all 3
20% decrease
.80
4/5
400
Does the graph represent exponential growth or decay? Write the equation for the graph.
Exponential Growth
y=2(3)x
400
What is the exponential growth/decay factor?
What is the percent growth/decay rate?
y=1/2(2)^x
Growth factor of 2
Growth rate of 100%
400
Create an exponential function for this data. 
y = 4800 (0.5)x
500
What is the difference between linear functions and Exponential functions
Linear has a constant difference.
Exponential has a common ratio (common factor).
500
Ms. Pastor purchased a car for 26,400 and every year it depreciates by 12% each year. What can she expect the value of her car to be after 3.5 years? Round to the nearest dollar.
f(x)=26400(.88)3.5=$16,877
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years? Round to the nearest dollar.
530,000(1.05)6 =$710,251
500
What is the annual rate of decrease if a new car was purchased for $36,000 and 2 years later has a value of $26,010?
Decreases at a rate of 15% per year.
500
You put $500.00 into an account and the account earns 3% interest, compounded annually. How much will be in the account after 5 years?
How long will it take for the $500 to at least double? Round your answer to 1 decimal place (tenths place).
$579.64
It will take 23.5 years.