alg2ch3arev - x years. 20. The population in Detriot,...

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Algebra 2 Name: ________________________ Review 3.1 to 3.3 Block: ______ No Calculator Allowed For questions 1 and 2, express as a power of 2. 1. 2 3 · 4 2 . 8 · 32 For 3 – 14, simplify each expression using the properties of exponents. 3. 3 -4 4 . 1 3 0 5 . 8 2/3 6. 16 -3/2 7 . 8 1 -3/4 8. 36 1/4 · 36 1/4 9. 2 5/2 · 2 1/2 1 0 . 5 2 2 9 9 1 1 . 8 2/5 · 8 -2/5 12. 7 4 5 4 25 25 1 3 . ( 9 4 ) 1/2 14. (64 1/2 ) 4/3 Graphing Calculator Allowed For questions 15 and 16, evaluate each expression when x = 4. 15. 12(2 x ) 1 6 . () 1 2 1024 x For question 17 and 18, do each of the following: a. Find the y-intercept of the graph. b. Does the graph illustrate exponential growth or decay? Explain. c. Sketch the graph. 17. y = 6(0.8) x 1 8 . y = 1.8(1.4) x
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19. $1500 is invested in a bank at 2.5% interest, compounded annually. a. Write an equation of the form y = ab x for the amount in the account after x years. b. How many years will it take for the original amount to double? Explain how you arrived at your answer. c. Write an equation of the form y = a (2) x/d for the amount of money in the account after
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Unformatted text preview: x years. 20. The population in Detriot, Michigan is decaying at annual rate of 2.5% each year. Detroits current population is 2.3 million people. a. Write an equation of the form y = ab x for the population in the after x years. b. How many years will it take for the population to be half its current population? Explain how you arrived at your answer. c. Write an equation of the form y = a (1/2) x/h for the population in Detroit after x years. 21. The table below gives the amount of money spent on Health Care per person in the US. Year 1960 1965 1970 1975 1980 1985 1990 Health care expenditure $143 $204 $346 $592 $1064 $1701 $2601 a) Find the average growth rate for the health care expenditures. b) Write an equation that models this data what do the variables represent? c) Use your equation to estimate the Health Care expenditure for the following years: a) 2000 b) 2012...
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This note was uploaded on 04/11/2011 for the course MATH 1100 taught by Professor Staff during the Spring '08 term at North Texas.

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alg2ch3arev - x years. 20. The population in Detriot,...

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