Warm Up HW Check Jeopardy Exponents GraphsExponential Growth/Decay Compound Interest Random Q $100 Q...
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Transcript of Warm Up HW Check Jeopardy Exponents GraphsExponential Growth/Decay Compound Interest Random Q $100 Q...
Warm Up
HW Check
JeopardyExponents Graphs Exponential
Growth/DecayCompound
InterestRandom
Q $100
Q $200
Q $300
Q $400
Q $500
Q $100 Q $100Q $100 Q $100
Q $200 Q $200 Q $200 Q $200
Q $300 Q $300 Q $300 Q $300
Q $400 Q $400 Q $400 Q $400
Q $500 Q $500 Q $500 Q $500
$100 Question
(-3x3y)2
$200 Question
2x5
8x8
$300 Question
4a (3b)2
$400 Question
(x0y-2z3)4
$500 Question
3xw-4
$100 Question
Graph the function y = 2(2)x in your calculator.
What are the x and y
intercepts?
$200 Question
Two functions are graphed on the same coordinate plane. The parent function f(x) = 4(2)x and the translated function g(x) = 4(2)x-3 + 6.
Describe how the graph of the new function compares to the parent function.
$300 Question
Identify the horizontal asymptotes.a) b)
$400 Question
Describe the translation
Parent function Translated Function
y = 5x y = 5x+6 - 2
$500 Question
Write an equation for the function.
Use a base of 3.
$100 Question
Identify the percent rate of change for each function.
a) y = 100(1.15)x
b) y = 25(.80)x
$200 Question
A population of one-hundred bacteria triple every 4 months. Find the population after 1 year.
$300 Question
The value of a $400 cell phone depreciatesat a rate of 8% per year. How much is the
phone worth after 3 years?
$400 QuestionA population of 100 trout doubles every 2 months. Fill in the table and graph the first 3 intervals of growth.# of 2 month cycle
0 1 2 3
# of trout
How many trout are there after 6 months?
$500 Question
The value of a $200,000 home increases by 2% per year.
How much is the home worth after 5 years?
$100 Question
You deposit $600 in an account that pays 4.5% interest compounded yearly. How
much money will be in your account after 4 years?
$200 QuestionTommy can describe the interestthat he gets from his bank account by the formula below. a) What was his initial deposit?
b) What is his annual interest rate?
y = 1250(1 + .075)x
$300 Question
How much money, to the nearest dollar, will be in an account after 4 years that started with
$550 and has an interest rate of 9% compounded quarterly.
$400 Question
Explain what each of the following numbers stands for in this equation.
y = 1500(1 + .08/2)2(5)
$500 Question (not compound interest)You are playing a game where for the first correct answer you win $1 and for each subsequent question you win double the
amount of the previous question.
a) Write a NOW-NEXT equation to model this b) Write an explicit equation to model thisc) Which of the following graphs could be used to model this situation?
$100 Question
Evaluate if a = -1 and b = 2
a3b0
$200 Questiona) Do the following tables represent exponentialgrowth or decay?
b) What is the common ratio for each?
x 1 2 3
y 12 3 0.75
x 1 2 3
y 0.5 1.5 4.5
#1 #2
$300 Question
The growth rate of a population is described by y = 900(1.01)x
a) Describe what the point (0,900) means on this graph.
b) What rate is the population growing by?
$400 QuestionAn organism divides into 2 every 2 hours. a) If there are 10 of these organisms how many will there be after 20 hours?
b) How many will there be after 1 day?
$500 QuestionA radioactive substance has a half-life of 150 years. If there are 250 grams of this substance today…
a) Write an explicit equation
b) Determine how much of this substance will remain in 600 years