General
What is the initial value of y=3(4)x?
What makes a growth equation a growth equation?
b is greater than 1
What makes decay equations, decay equations?
b is between 0 and 1
What is the general form of exponential equations?
y=a(b)x
Name one thing that you have learned about Ms. Marsiglio so far this year.
we shall see
What does the a value do to the graph?
positive a: concave up
negative a: concave down
Increases, appreciates, grows
True or false: every decay equation is decreasing.
false
Is (1,1) a solution to the function y=2(1/2)x
why or why not?yes. plug in x=1, you get y=1
Kelly, McMillin, Roller, Cornish, Wright
Given the points {(0,2),(1,8),(2,32)}, write the exponential equation.
y=2(4)x
A=P(1+r)t
What is the only difference between the exponential growth equation and the exponential decay equation?
growth has (1+r), decay has (1-r)
Evaluate f(4) when f(x)=3(2)x
48
What month of the year has 28 days?
all of them
Given the equation, y=-(2)x
fill out the following:
initial value, multiplier, growth or decay, decreasing or increasing, domain, range, concavity
Find the mistake given the following information.
y=1/4(3)x
initial value: 1/4
multiplier: 3
decay
increasing
domain: all real numbers
range: y>0
concavity: up
growth, not decay
What do each of the variables in the exponential growth or decay formula stand for? Be specific.
A: total amount
P: initial principal amount
r: interest rate (as a decimal)
t: amount of time
Name a solution of y=10(1/2)x
lots of options
When Sam was 12, his brother has half his age. Now that Sam is 26, how old is his brother?
20
Given the points {(3,6),(2,12),(1,24),(0,48)}, write the exponential equation.
y=48(1/2)x
Chad won a bidding war over a signed football by Patrick Mahomes for $2,500. The value of the football increases by 30% every year. How much could she sell it for after 3 and a half years?
$6,262.41
Emmie bought a computer for $2,000. The value of the computer depreciates by 10% every month she has it. How much is the computer worth after a year?
$564.86
The population of Ozark is currently 22,000 people, Nixa's is 24,000. Ozark students want to become Nixa Eagles, so people are moving to Nixa from Ozark at a rate of 12% per year. How many people are in Nixa after 3 years?
about 33,718 people
Work with your group to
1) come up with a fake product (school appropriate)
2) create a 45 second pitch as to why I should buy your new product.
Points will be given if the entire group participates, creativity for the product, and if I actually end up wanting to purchase it.
You're seeing this because I found it worthy of the points.