E^t: Phone Home
Growth or Decay
Percent Rate/Transformations
Word Problems
100
Is e a number or a variable when dealing with exponential functions?
A number. It is known as the Natural Number.
100
f(x)=.25(1.3)x
Does this functions represent exponential growth or decay?
Exponential Growth
100
What is the percent growth/decay rate?
y=5(0.5)^x
50%
100
2243
200
What is the growth rate for the function:
P(t)=10000e^(0.45t)
0.5683 or 56.83%
200
f(x)=a(1.07)x
Does this functions represent 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
300
What is the decay rate for the function:
P(t)=10000e^(-0.24t)
0.2134 or 21.34%
300
f(x)=a(.93)x
Does this functions represent exponential growth or decay?
Exponential Decay
300
What is the percent growth/decay rate?
y=2(0.01)^x
99%
300
16,941 people
400
What is P(t), when t = 4? Round to nearest whole number.
P(t)=10000e^(0.0035t)
P(4)=10,141
400
Is the function exponential growth or decay? 
Decay
400
List all transformations of this exponential function:
y=1/2(0.7)^(x-4)+3
Vertical Compression by 1/2, Shift right 4, Shift up 3
400
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
FOR a total of 1000 points... Wrong answers will not be penalized...
Why did e break up with pi ?
Because pi kept going in circles, and e wanted natural growth.
500
Is this growth or decay?
y=30e^(-0.0043t)
Decay
500
List all transformations of this exponential function.
y=60(1.33)^(x+6)-7
Vertical Stretch by 60, Shift left 6, Down 7.
500
If you put $500.00 into an account and the account earns 3% interest, compounded quarterly. How much will be in the account after 5 years?
$580.59