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Growth or Decay
Growth or Decay
Percent Rate
Word Problems
100
What is the initial amount and common ratio for the function f(x)=2(3)x
initial amount=2
common ratio= 3
100
How do I know if the exponential relationship below is growth or decay?
y = 3(0.56)x
Decay has a b value or decay factor less than 1.
100
For the exponential function y=15(3)x, what is the factor, and does the function represent growth or decay?
Exponential Growth
Factor: 3
100
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=5(0.5)^x
Exponential Decay
50%
100
2243
200
Erin invested $19,800 in a CD that pays an annual interest rate of 5.3%. The CD is set to compound yearly. How much is in Erin’s account after 9 years?
$31,515.23
200
Do the following equations represent exponential growth, decay, or neither?
a) y=3.5(0.3)x
b) y=2(3)x
c) y=5x+6
a) Decay
b) Growth
c) Neither (It's linear! y=mx+b)
200
Larry invested $27,000 in a savings account that pays an annual interest rate of 1.8%, compounded yearly. How much is in Larry’s account after 5 years?
$29,519.07
200
Is this exponential growth or decay?
What is the percent growth/decay rate?
What is the growth/decay factor?
y=5(1.3)^x
Exponential Growth
30%
1.3
200
What will be the cost in 17 years?
$32,313.27
300
What is the decay factor, if DJ's soccer ball depreciates 9% every day he uses it?
0.91
300
y=2(1.13)x
Does this function represent exponential growth or decay? What is the growth/decay RATE?
Exponential Growth
Rate: 0.13 or 13%
300
f(x)=7(1.07)x
Does this function represent exponential growth or decay? What's the percent growth/decay RATE?
Exponential Growth.
Rate: 0.07 or 7%.
300
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1(0.01)^x
Exponential Decay
99%
300
16,941 people
400
a) What is the y-intercept?
b) Is it Growth or Decay?
a) (0,1)
b) growth
400
y=5(0.97)x
Does this function represent exponential growth or decay? What is the growth/decay RATE?
Exponential Decay
Rate: 0.03 or 3%
400
Does the graph represent exponential growth or decay?
Exponential Growth
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
What is the decay factor?
y=1/2(0.7)^x
Exponential Decay
30%
0.7
400
Is the function exponential growth or decay?
Write the equation to represent the graph. 
Decay
y = 2400 (0.5x)
500
Write the equation in the following table:
y= 5(2)x
500
Ms. Parker purchased a car for 26,400 and every year it decays by 12%. What can she expect the value of her car to be after 3.5 years?
y=26400(.88)3.5=$16,876.92
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5% per year. What will the annual sales be in 6 years? (show the equation and answer)
530,000(1.05)6 =$710,250.69
500
Is this exponential growth or decay?
What is the percent growth/decay rate?
What is the growth/decay factor
y=1/2(1.07)^x
Exponential GROWTH
7%
1.07
500
If you put $500.00 into an account and the account earns a 3% yearly interest rate. How much will be in the account after 5 years?
Round the nearest cent!
$579.64