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Algebra Exponentials Jeopardy

Algebra Exponentials Jeopardy. Algebra Midterm Jeopardy. graphs properties mystery interest applications other 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 Final Jeopardy. Graphing 1 point. Growth or decay? X-intercept Y-intercept. Graphing 1 point answer. Growth

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Algebra Exponentials Jeopardy

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  1. Algebra Exponentials Jeopardy

  2. Algebra Midterm Jeopardy graphspropertiesmystery interestapplicationsother 111111 222222 333333 444444 Final Jeopardy

  3. Graphing 1 point • Growth or decay? • X-intercept • Y-intercept

  4. Graphing 1 point answer • Growth • No x-intercept for exponential functions! • (0, 1)

  5. Graphing 2 points A. Growth or decay B. X-intercept C. Y-intercept

  6. Graphing 2 points answer • Decay • No x-intercepts for exponentials! • (0, 4)

  7. Graphing 3 points • Growth or decay • X-intercept • Y-intercept • Domain • Range • asymptote

  8. Graphing 3 points answer

  9. Graphing 4 points • Growth or decay • Write the rule • Domain • Range • Asymptote (0, 6) and (2, 0.375)

  10. Graphing 4 points answer

  11. Properties 1 point (-4xy2)0

  12. Properties 1 point answer (-4xy2)0 1

  13. Properties 2 points 2b4 ⋅ 4a-3 ⋅ 5b-5 ⋅ -2a8

  14. Properties 2 points answer

  15. Properties 3 points Rewrite with only one exponent: 64x3y6z12

  16. Properties 3 points answer 64x3y6z12 These can all be written to the power of 3: 43x3(y2)3(z4)3 (4xy2z4)3

  17. Properties 4 points Solve: 56x = 12520

  18. Properties 4 points answer 56x = 12520 Rewrite 125 with a base of 5 56x = (53)20 56x= 560 6x = 60 X = 10

  19. Mystery 1 point

  20. Sequences 1 point answer

  21. Mystery 2 points

  22. Mystery 2 points answer

  23. Mystery 3 points State the: Domain Range Y-intercept X-intercept

  24. Mystery 3 points answer

  25. Mystery 4 points You have two neighbors with dogs. The first neighbor will give you $7 each time you walk his dog. The second neighbor will give you $.50 for the first walk, then doubles each walk after that. A. How much total will each neighbor have given you after 4 walks? B. When will it be better for you to choose the second neighbor?

  26. Mystery 4 points answer • Neighbor #1: $7(4) = $28 Neighbor #2: $0.50 + $1 + $2 + $4 = $7.50 • On walk 7 your first neighbor will have given you $49 and the second neighbor will have paid you a total of $61.50

  27. Interest 1 point Invest $850 in an account that pays 2% interest compounded annually for 4 years.

  28. Interest 1 point answer Invest $850 in an account that pays 2% interest compounded annually for 4 years. P = 850 R = 2%/1 = 2% + 100% = 102% = 1.02 X = 4(1) A = 850(1.02)4 = $920.07

  29. Interest 2 points Invest $9000 in an account that pays 3% interest compounded semiannually for 6 years.

  30. Interest 2 points answer Invest $9000 in an account that pays 3% interest compounded semiannually for 6 years. P = 9000 R = 3%/2 = 1.5% + 100% = 101.5% = 1.015 X = 6(2) = 12 A = 9000(1.015)12 = $10,760.56

  31. Interest 3 points Invest $1000 in an account that pays 5% compounded quarterly for 10 years.

  32. Interest 3 points answer Invest $1000 in an account that pays 5% compounded quarterly for 10 years. P = 1000 R = 5%/4 = 1.25% + 100% = 101.25% = 1.0125 X = 10(4) = 40 A = 1000(1.0125)40 = $1643.62

  33. Interest 4 points Invest $12,000 in an account that pays 3% compounded monthly for 8 years.

  34. Interest 4 points answer Invest $12,000 in an account that pays 3% compounded monthly for 8 years. P = 12000 R = 3%/12 = 0.25% + 100% = 100.25% = 1.0025 X = 8(12) = 96 A = 12000(1.0025)96 = $15,250.42

  35. Applications 1 point A club has 20 people and is growing by 15% each year. How many members will there be in 6 years?

  36. Applications 1 point answer A club has 20 people and is growing by 15% each year. How many members will there be in 6 years? a = 20 b = 15% + 100% = 115% = 1.15 x = 6 Y = 20(1.15)6 = 46 people

  37. Applications 2 points A car depreciates by 13% each year. How much will a car currently valued at $21,000 be worth in 7 years?

  38. Applications 2 points answer A car depreciates by 13% each year. How much will a car currently valued at $21,000 be worth in 7 years? a = 21000 b = 100% - 13% = 87% = 0.87 x = 7 y = 21000(0.87)7 = $7922.35

  39. Applications 3 points A haunted house has 5 spiders. Their population is doubling every 4 months. How many spiders will there be in 10 years?

  40. Applications 3 points answer A haunted house has 5 spiders. Their population is doubling every 4 months. How many spiders will there be in 10 years? a = 5 b = 2 (doubling = 2) x = 3 times a year for 10 years = 30 5(2)30 = 5,368,709,120

  41. Applications 4 points A mystery substance has a half life of 2 days. If you start with 17 mg of this substance, how much will be left in 13 days?

  42. Applications 4 points answer A mystery substance has a half life of 2 days. If you start with 17 mg of this substance, how much will be left in 13 days? a = 17 mg b = 0.5 (half life is ALWAYS 0.5) x = 13/2 = 6.5 cycles y = 17(0.5)6.5 = 0.19 mg

  43. Other 1 point y = 0.5(1.25)x • Growth or decay? • Y-intercept • Rate of growth or decay • Growth or decay factor

  44. Other 1 point answer y = 0.5(1.25)x • Growth or decay? Growth (b > 1) • Y-intercept (also known as “a” 0.5) • Rate of growth or decay b = 1.25, growing by 25% D. Growth factor: 1.25

  45. Other 2 points (-4xy5z3)2

  46. Other 2 points answer (-4xy5z3)2 = 16x2y10z6

  47. Other 3 points Graph y = -2(0.5)x What are the domain and range?

  48. other 3 points answer

  49. Other 4 points You buy a brand new car for $35000. It loses its value by 9% each year. • Write an equation to model this situation. • What is the domain? • What is the range?

  50. Other 4 points answer

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