Warm Up
HW Check
Jeopardy Exponents GraphsExponential Growth/Decay Compound Interest Random Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500
$100 Question (-3x 3 y) 2
$200 Question 2x 5 8x 8
$300 Question 4a (3b) 2
$400 Question (x 0 y -2 z 3 ) 4
$500 Question 3x w -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 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 functionTranslated Function y = 5 x y = 5 x+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 depreciates at a rate of 8% per year. How much is the phone worth after 3 years?
$400 Question A population of 100 trout doubles every 2 months. Fill in the table and graph the first 3 intervals of growth. # of 2 month cycle 0123 # 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 Question Tommy can describe the interest that 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( ) 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 this c)Which of the following graphs could be used to model this situation?
$100 Question Evaluate if a = -1 and b = 2 a 3 b 0
$200 Question a) Do the following tables represent exponential growth or decay? b) What is the common ratio for each? x123 y x123 y #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 Question An 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 Question A 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