Exponential growth Equations
Growth or Decay
Evaluating the functions
Exponential Decay Formula
Random
100
I start with 500 and grow at a 5% rate.
y = 500*(1.05)^x
100
Is the following function growth or decay? What's the percent rate of growth or decay?
y=15(1.15)x
Growth 15% or .15
100
1/16
100
Started with 400 and had a 3% decay
y = 400*(.97)^x
100
Identify the y-intercept (initial value) in the function f(x)=13(.27)x
13
200
I double annually and start with $35
y = 35*2^x
200
Growth or decay? What's the rate of growth or decay?
y= 3(1.95)x
Exponential growth, 95% or .95
200
75
200
Have a 2.5% decay with a start of 45 items.
y = 45*(.975)^x
200
Started with $500 and lost at a 2% monthly rate. After 3 months how much money do I have?
$470.60
300
The amount of ducks grown 2.5% annually, there were 41 ducks in the pound to start.
y = 41*(1.025)^x
300
Growth or decay? Rate of Growth or Decay?
y= 234(.93)x
Exponential decay. 7% or .07
300
f(x) = 32(3/4)^x when x = 2
What is 18?
300
Had a start of $5,087 and had a loss of 62% annually.
y= 5,087*(.38)^x
300
The price of a car that was bought for $10,000 and has depreciated 10% yearly. Find the price of the car 8 years later.
$4304.67
400
I invested $4346 into an account that grows 25% annually.
y = 4346*(1.25)^x
400
Give the rate of decay:
y = 35(0.65)x
r=.35
400
f(x) = 250(3/5)^x when x = 3
What is 54?
400
Had a lost of 24.5% annually, with a start of 5.
y = 5*(.755)^x
400
I invested $40,000 into a CD, which grows at at 23% annually, after 10 years how much money do I have?
$317,037.84
500
There are 4 fish in the pound and they will grow by a .061% annually.
y = 4*(1.00061)^x
500
Sally invests $750 dollars into a bank that pays 7% interest.
What is the multiplier for the equation?
1.07
500
f(x)=1200(.85)x ; Find f(6)
452.58
500
Have a start of 1.45 units with a loss of .097%.
y = 1.45*(.99903)^x
500
A town of 3200, grows at a rate of 25% every year. After 15 years how many people in the town?
90949 people