Growth or Decay
Growth or Decay
Percent Rate
Word Problems
Riddles
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, what is the growth factor?
growth rate = 2
100
What is the percent growth/decay rate?
y=5(0.5)^x
50%
100
2243
100
What has to be broken before you can use it?
An egg
200
The breakdown of a sample of a chemical compound is represented by the function p(t) = 300(.05)t, where p(t) represents the number of milligrams of the substance and t represents the time, in years. In the function p(t), explain what 0.5 and 300 represent.
0.5 represents the rate of decay and 300 represents the initial amount of the compound.
200
In exponential functions, when the number inside the parentheses is greater than 1, this will cause an exponential growth or decay?
Exponential growth
200
What is the percent growth/decay rate?
y=5(1.3)^x
30%
200
What will be the cost in 17 years?
$32,313.27
200
There’s a one-story house in which everything is yellow. Yellow walls, yellow doors, yellow furniture. What color are the stairs?
There aren’t any—it’s a one-story house.
300
f(x)=a(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay
r = 7%
300
f(x)=37(1.07)x
Does this function represent exponential growth or decay? What's the factor in percentage?
Exponential Growth. 7%
300
What is the percent growth/decay rate?
y=(0.01)^x
99%
300
16,941 people
300
Who makes it, has no need of it. Who buys it, has no use for it. Who uses it can neither see nor feel it. What is it?
A coffin.
400
Label the following formula:
y = final amount
a = initial amount
r = rate of growth
t = time
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?
y=1/2(0.7)^x
Decay. 30%
400
Is the function exponential growth or decay? 
Decay
400
It belongs to you, but others use it more. What is it?
Your name
500
Ms. Wiggins 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?
f(x)=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%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69
500
What is the percent growth/decay rate?
y=60(1.33)^x
33%
500
If you put $500.00 into an account and the account earns 3% interest. How much will be in the account after 5 years?
$579.64
500
Two fathers and two sons are in a car, yet there are only three people in the car. How?
They are grandfather, father, and son.