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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.

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Presentation on theme: "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."— Presentation transcript:

1

2 Warm Up

3 HW Check

4 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

5 $100 Question (-3x 3 y) 2

6 $200 Question 2x 5 8x 8

7 $300 Question 4a (3b) 2

8 $400 Question (x 0 y -2 z 3 ) 4

9 $500 Question 3x w -4

10 $100 Question Graph the function y = 2(2) x in your calculator. What are the x and y intercepts ?

11 $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.

12 $300 Question Identify the horizontal asymptotes. a) b)

13 $400 Question Describe the translation Parent functionTranslated Function y = 5 x y = 5 x+6 - 2

14 $500 Question Write an equation for the function. Use a base of 3.

15 $100 Question Identify the percent rate of change for each function. a)y = 100(1.15) x b)y = 25(.80) x

16 $200 Question A population of one-hundred bacteria triple every 4 months. Find the population after 1 year.

17 $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?

18 $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?

19 $500 Question The value of a $200,000 home increases by 2% per year. How much is the home worth after 5 years?

20 $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?

21 $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(1 +.075) x

22 $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.

23 $400 Question Explain what each of the following numbers stands for in this equation. y = 1500(1 +.08/2) 2(5)

24 $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?

25 $100 Question Evaluate if a = -1 and b = 2 a 3 b 0

26 $200 Question a) Do the following tables represent exponential growth or decay? b) What is the common ratio for each? x123 y1230.75 x123 y0.51.54.5 #1 #2

27 $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?

28 $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?

29 $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


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