Unit 3B Review Sheet - Cobb Learning

CC Coordinate Algebra Unit 3b Test Review – Day 42Name: ______________________________________ Date: _____________________________Linear and Exponential Models:1. Write an explicit and recursive formula to model the number of dots per day.Day 1 Day 2 Day 32. Sherry has a huge doll collection of 80 dolls. Her mom tells her that she needs to getrid of 5 per year to get it down to a decent number before leaving for college.Write an explicit and recursive formula to model the number of dolls per day. If she is12, how many will she have left when she is 18?3. You bought a Boston Whaler in 2004 for $12,500. The boat’s value depreciates by 7%a year. How much is the boat worth now? How much is it worth in 2020?4. The population of a large city increases by a rate of 3% a year. When the 2000census was taken, the population was 1.2 million.a) Write a model for this population growth.b) What should the population be now? What is the projected population for 2020?

CC Coordinate Algebra Unit 3b Test Review – Day 425. Bank Plans: Suppose you worked mowing lawns all summer and earned $100. Twosavings institutions want you to let them “hold onto your money” for a while.Linear Luck: This savings plan will add $100 to your balance for every month that you leave yourmoney in the account.Exponential Experiment: This savings plan will multiply your balance by 2 every month that you leaveyour money in their account.Analyze the plans: Write the explicit function for each account, and decide whichaccount is best at what times.Transformations:6. Describe the transformations made to f(x) = 3 x to draw the following functions.a) 1 x21gx ( ) 3 5b) ( ) 2(3) x hx 47. Give the domain, range, and asymptote forgx1 .4x2( ) 3 58. Sketch the graph of -f(x)+2.

CC Coordinate Algebra Unit 3b Test Review – Day 429. Sketch the graph of 2f(x)-1.10. Find the 87 th term of the sequence: 2, 5, 8, 11, …11. Find the 200 th term of the sequence given: a 6n71n12. Write an explicit formula for the sequence 5, 8, 11, 14,…13. Write a recursive formula for the sequence in question 12.14. What is the 6 th term of the sequence given by 1a n 53 n15. The population of Clarkstown was 3,381,000 in 2000 and is growing at an annual rate of 1.8%. Assumingthis growth rate continues, what is the projected population of Clarkstown in the year 2009?a. 3899666b. 3969860c. 3990589d. 4041317

CC Coordinate Algebra Unit 3b Test Review – Day 4216. Which equation represents exponential decay?1a. y x 21b. y x2c.1y 21y 52d. xx17. After a single sheet of paper is folded in half, there are two layers of paper. If the same sheet if folded asecond time, there are four layers of paper. Which equation represents the number of layers of paper, y,after the original sheet of paper is folded a total of x times?2a. yxb. y2xc. y 2 xd. y 4 x18. In the equation y 4 x , by what percent does y increase when x increases by 1 unita. 100b. 200c. 300d. 40019. Which equation models the data in the accompanying table?x 0 1 2 3 4 5 6y 5 10 20 40 80 160 320a. y2x5b. y 2 xc.y5x2d. y 52 x20. The height, h, of a bouncing ball after x bounces is represented by the equation h 800.5x. How manytimes higher is the first bounce than the fourth bounce?a. 8b. 2c. 16d. 421. The current population of Little Pond, NY, is 20,000. The population is decreasing, as represented by theequation .25PA 1.3t, where P = final population, t = time in years, and A = initial population.Estimate to the nearest hundred people the population of Little Pond 10 years from now.

CC Coordinate Algebra Unit 3b Test Review – Day 42[1] a n = 2(3) n-1 a n = (a n-1 )(3), a 1 =2 [12] an3n2[2] EXPLICIT: a n = -5n+80[13] a1 5RECURSIVE: a 1 =75 a n = a n-1 – 5anan 13DOLLS LEFT: 50[3] y=12,500(.93) t$6,994.77$3,914.15[14] 1215[4] a. y = 1,200,000(1.03) t[15] Bb. NOW: 1,710,913.06 and in 2020:2,167,333.48[5] LINEAR: a n = 100n+100[16] CEXPONENTIAL: a n = 100(2) n ora n = 200(2) n-1ANALYZE: Exponential is alwaysbetter[6] a. Shrink, right 2, up 5[17] Cb. Reflection about x-axis, left 1[7] Domain: All Real Numbers , [18] CRange: 5,Asymptote: y = 5[8] [19] D[9] [20] A[10] 260 [21] 10400[11] -1129