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geallir ) * Advanced Algebra Name CHAPTER 5B LOGARITHMIC FUNCTIONS Period Date Revisiting Exponential Growth and Decay Using Logarithms 1. Patty went to the pet store and bought four rabbits. Amazingly, her rabbit population tripled every year! a. Write an explicit function that models this situation for the number of rabbits r after x years have passed. b. Set up an equation to determine the number of years it will take to reach 10,000,000 rabbits. Solve showing all steps leading to your answer: express your answer as a logarithm. Use a calculator to round your answer to the nearest hundredth. 10,000, 600= 2. Joe bought a Kobe Bryant trading card for $5. Its value doubles every year. a. Write an explicit function that models this situation. LOS ANGELES b. Set up an equation to determine the number of years it will take to reach AKERS, a value of $4,000. Solve showing all steps leading to your answer: express your answer as a logarithm. Use a calculator to round your answer to the nearest hundredth. y = a (1 + r) or y = a(1 - r)* 3. Eric threw his dirty gym sock under his bed. The sock started with 9 mg of bacteria. After each week that passes, the amount of bacteria in the sock increases by 37%. a. Write an explicit function that models the amount of bacteria as a function of the number of weeks. b. Set up an equation to determine the number of weeks it will take to reach 5,000 mg of bacteria. Show all steps leading to your answer: express your answer as a logarithm. Use a calculator to round your answer to the nearest hundredth. 4. Melanie bought an original painting for $500. She was told that its value would appreciate (increase) 15 % each year. a. Write an explicit function that models the value of the painting as a function of the number of years. b. Set up an equation to determine the number of years it will take to reach a value of $10,000. Solve showing all steps leading to your answer: express your answer as a logarithm. Use a calculator to round your answer to the nearest hundredth. c. Assume now that the value of the painting increased from the original $500 to $10,000 in just 10 years. The percent increase for this situation is unknown. Set up an equation to determine the percent increase for this new situation. Solve showing all steps leading to your answer. Use a calculator to round your answer to the nearest hundredth