Mix Bag
Growth or Decay
Growth or Decay
Percent Rate
Word Problems
Geometric Sequences
100
What is the initial amount and growth factor for the function f(x)=2(3)x
initial amount=2
growth factor= 3
100
How do I know if an exponential function is exponential decay from an equation?
Example: y = 3(0.56)x
Decay is has a b value or growth 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 Growth
50%
100
2243
100
Write the explicit formula for this geometric sequence.
2,6,18,54, ...
2(3)^(n-1)
200
What day is Wild Waters?
June 5th
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%. The savings account is set to compound quarterly. How much is in Larry’s account after 5 years?
$29,536.74
200
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=5(1.3)^x
Exponential Growth
30%
200
What will be the cost in 17 years?
$32,313.27
200
Write the explicit formula for this geometric sequence.
-1,-3, -9, -27, ...
-1(3)^(n-1)
300
Find the rate of change given the coordinates; (0, -2) (3,4)
2
300
f(x)=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 functions 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=(0.01)^x
Exponential Decay
99%
300
16,941 people
300
55, 165, 495, 1485, ...
list the a1 and b
a1 = 55
b = 3
400
What unit are we on? i.e Unit 1, 2 etc??
Not including SBAC
8
400
f(x)=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?
y=1/2(0.7)^x
Exponential Decay
30%
400
Is the function exponential growth or decay? 
Decay
400
Write the explicit formula for this geometric sequence.
100, 50, 25, 12.5, ...
100(1/2)^(n-1)
500
Write the equation to the following table:
(hint, simply plug in initial and growth factor)
y= 5(2)x
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% 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?
y=60(1.33)^x
Exponential Growth
33%
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
500
Write the explicit formula for this geometric sequence.
600, 120, 25, 5, ...
600(1/5)^(n-1)