Growth or Decay
Writing Equations
Writing Equations 2
Word Problems
Evaluating Functions
Sequences (Ch5 Retention)
Potpourri
100
This graph is an example of (GROWTH or DECAY?)
Exponential Decay
100
An exponential equation that starts at 3 and has a pattern of x5.
y = 3 (5)x
100
An exponential equation starts at 200 and has a multiplier of 1/2.
y = 200 ( 1/2 )x
OR
y = 200 ( 0.5 )x
100
The value of a car decreases in value every year following the equation below. What is the value of the car when purchased?
y=25000(0.9)^x
$25,000
100
For the function,
f(x)=x+3
What is f(2)?
f(2) = 2 + 3 = 5
100
If a sequence ADDS by the same number it is (GEOMETRIC or ARITHMETIC?)
Arithmetic
100
This is Mr. Shiparski's favorite sport.
Soccer
200
This graph is an example of _______. (Growth or Decay)
Exponential Growth
200
Based on the table, write the exponential equation.
y = 4*(5)^x
200
Write the equation of the graph
y=1*(2)^x
200
The value of a car decreases in value every year following the equation below. What is the value of the car after 10 years
y=25000(0.9)^x
$14,762.25
200
For the function,
f(x)=2x^2
What is f(-3)
f(-3)=2*(-3)^2 = 18
200
Is the following Sequence Arithmetic or Geometric?
100, 150, 225, 337.5...
Geometric
Generator = x 1.5
200
This is the state that Mr. Shiparski went to college.
Colorado
300
The equation is an example of ___________.
y = 3 ( 8.5 )x
Exponential Growth
300
Write the exponential equation based on the data table:
y=1250*(1/5)^x
300
Write the equation based on the data table.
y=363*(11)^x
300
Your antique watch is worth $3,000 but it increases in value at a rate of 3.2% each year. In 15 years this will be the value.
a = 3000
b = 1.032
y = 3000 ( 1.032 )15 = $4811.90
300
For the function,
f(x) = 3*(8)^x
What is f(0)?
f(0) =3*(8)^0=3
300
For the explicit equation, list 3 things:
-What is the generator?
-What is the t(0) or starting value?
-Is it arithmetic or geometric?
t(n)=4n-6
Generator = 4
t(0) = -6
Arithmetic
300
Solve for x.
3 (x + 2) = 18 - x
x = 3
400
The equation is an example of _______________.
y = 0.5 ( 1 )x
A Linear equation
400
Based on the table write the exponential equation.
y=5400*(1/3)^x
400
Write the equation for the graph.
y=20*(1/4)^x
400
The population of a small town is 1000 and is decreasing by 10% every year. What is the population going to be in 25 years?
a = 1000
b = 0.90
y=1000*(0.90)^25=71
400
For the function,
f(x)=8*(2)^x
What is f(-2)?
f(x)=8*(2)^-2=2
400
Write the recursive equation for the following sequence:
100, 75, 50, 25...
t(n+1)=t(n)-25
400
This is the most common used spice worldwide. (Salt is not considered a spice)
Black Pepper
500
The method scientist use to determine the age of dinosaur bones is called Carbon Dating. This is an example of _____________.
Exponential Decay
500
Write the matching exponential equation for the given table.
y=1*(5)^x
500
Write the equation for the graph
y=5*(3)^x
500
A 100-gram sample of a radioactive isotope decays at a rate of 6% every week. How big will the sample be one year from now?
a = 100
b = 0.94
**1 year = 52 weeks
y=100*(0.94)^52=4.00
500
For the function,
f(x)=90*(1/3)^x
What is f(3)?
f(3)=90*(1/3)^3=3.33
500
The population of chickens is shown in the table below. Write the Explicit Equation for the sequence.
t(n)=2*(6)^x
500
What is Mr. Shiparski's dog's name?
Ellie