Scavenger Hunt: You’re the Expert: EOC Review Part II Divide the class into pairs. Give each pair a problem to start with. Then let their answer choices guide them from there. Solutions: 1. c 2. d 3. a 4. b 5. d 6. c 7. a 8. d 9. b 10. d 11. a 12. a 13. d 14. b 1st Period Groups Abu-sh Malinda Austin Kyle Will Ryan Adia Puja Zoe Jordyn Nick Autumn Garrett Tristan Mariana Ravi Rachel Bryan Molina Courtney Matt Reagan Hannah Jake Josh Elizabeth Emma 1. Write an exponential model for the given points 1 27 1, and 2, 2 2 27 1 a. f x 2 2 x b. f x 12 x c. f x 3 x 3 2 3 d. f x 3 2 x a. Middle Computer in Paris’ Room b. B-Hall Einstein Picture c. Locker B-126 d. Paris’ Side B-Hall Entrance 2. Simplify the logarithmic expression. ln e 3 ln x 2 ln x 3 ln y 2 2 e2 y 3 a. ln 1 x2 x 32 y3 b. 2 ln 2 x e2 x 32 y 3 c. ln 2 x d. ln xy 3 a. Locker B-121 b. Tan File Cabinet in Paris’ Room c. B-Hall Men’s Restroom Entrance d. Far Left Computer in Paris’ Room 3. Solve. log b x2 2 2 log b 6 log b 6 x a. 3 2 b. 3 4 , 2 3 c. 6 d. 6 , 12 a. B-Hall Edison Picture b. Left Main Hall Water Fountain c. Red Cabinet in Paris’ Room d. B-Hall Teach Workroom Fridge 4. Solve. log3 37 x2 2 x2 3 a. 5 ,1 2 b. 5 , 1 2 c. No Solution d. 5 2 a. B-Hall Indian Mural b. Office Side Classroom Door c. B-Hall Einstein Picture d. Homework Board 5. Solve. 2e3 x1 4 0 a. 1 log 2 3 log e b. ln 3 3 c. 1 log 2 e 3 d. 1 ln 2 3 a. Locker B-131 b. Main Hall Giant Arrowhead c. Far Right Computer in Paris’ Room d. Paris’ Room American Flag 6. Solve. log 2 4 x log 2 3 2 log 2 x 1 a. No Solution b. 2 , 0 3 c. 8 3 d. 8 , 0 3 a. Right Main Hall Water Fountain b. Top Shelf of B-Hall Trophy Case c. Locker B-136 d. B-Hall Teacher Workroom Microwave 7. In 1990, the population of the U.S. was 248.7 million. After 1 decade is was 268.6 million. Assuming exponential growth, in what year with the population reach 300 million? a. 2014 b. 2013 c. 2012 d. 2011 a. B-Hall Bookroom on Right b. Bottom Shelf of B-Hall Trophy Case c. Green File Cabinet in Paris’ Room d. B-Hall Teacher Workroom Microwave 8. You invest $20,000 into an account that pays 15% annual interest and is compounded continuously. How many years would you have to wait before the balance of the account reaches $1 million? a. 52.371 yrs b. 45.025 yrs c. 31.117 yrs d. 26.080 yrs a. Chalkboard Coordinate Plane b. Guidance End Library Door c. B-Hall Edison Picture d. B-Hall Indian Mural 9. You invested $2,500 into an account that is compounded quarterly. After 3 years, the balance of the account was $3564.40. How many years would you have to wait until the balance reached $10,000? a. 10.00 yrs b. 11.75 yrs c. 13.5 yrs d. 15.25 yrs a. Far Left Computer in Paris’ Room b. Left Main Hall Water Fountain c. Locker B-131 d. B-Hall Electrical Panel 10. An archaeologist found a skeleton. To determine how old it was, he used a technique called radio-carbon dating. Eight percent of the samples Carbon-14 (which has a half-life of approximately 5730 yrs) had decayed. How old is the body? a. 2,384 yrs b. 3.26 million yrs c. 152.6 yrs d. 689.286 yrs a. Main Hall Giant Arrowhead b. Chalkboard Circle Graph c. B-Hall Edison Picture d. B-Hall Tan Cabinet 11. State whether the following relation Exponential. If so write an exponential model. x -1 0 1 2 3 f(x) 16 8 4 2 1 1 a. yes, f x 8 2 x 1 b. yes, f x 2 8 x 1 2 c. yes, f x 8 x d. no a. Paris’ Name Plate b. Locker B-136 c. B-Hall Bookroom on Right d. Paris’ Computer Cart TV 12. Evaluate. log 4 32 a. 5 2 b. 8 c. 2 5 d. 1 8 a. B-Hall Side Classroom Door b. B-Hall Women’s Restroom Entrance c. Guidance End Library Door d. Homework Board 13. Evaluate. log 1 27 9 a. 243 b. 2 3 c. 243 d. 3 2 a. Homework Board b. Guidance End Library Door c. B-Hall Bookroom Left Door d. Paris’ Side B-Hall Entrance 14. State the domain, range, and asymptote. (Hint identify the transformations.) f x 3 log 3 x 2 1 a. Domain: , Range: ,2 Asymptote: y 2 b. Domain: ,2 Range: , Asymptote: x 2 c. Domain: , Range: 1, Asymptote: y 1 d. Domain: 1, Range: , Asymptote: x 1 a. B-Hall Teacher Workroom Fridge b. Far Right Computer Paris’ in Room c. Coach Davis’ Side B-Hall Entrance d. Locker B-126 GO BACK You’re the Expert (Part II) Scavenger Hunt: Record Sheet No. 1. 2. 3. 4. Work, Justification, or Calculator Steps Group Members:______________________________ ______________________________ Answer Choice No. 5. 6. 7. 8. Work, Justification, or Calculator Steps Answer Choice No. 9. 10. 11. 12. Work, Justification, or Calculator Steps Answer Choice No. 13. 14. Work, Justification, or Calculator Steps Answer Choice