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anonymous

  • one year ago

Need help a chess competition has eliminations each round. The table below shows the number of players in each of the first 5 rounds of tournament Round(x) Players f(x) 1 256 2 128 3 64 4 32 5 16 Compute the average rate of change of f(x) from x = 1 to x = 5 identify the meaning of that rate.

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  1. Vocaloid
    • one year ago
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    [ f(5)-f(1) ] / (5-1) find f(5) and f(1), then plug them into the equation

  2. anonymous
    • one year ago
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    Ok

  3. anonymous
    • one year ago
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    I'm terrible at math can explain how to do the problem

  4. Vocaloid
    • one year ago
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    what is f(5)? (look at the table)

  5. anonymous
    • one year ago
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    16?

  6. Vocaloid
    • one year ago
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    yeah! now find f(1)

  7. anonymous
    • one year ago
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    256?

  8. Vocaloid
    • one year ago
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    yup! now plug those values into our expression [f(5)-f(1)] / (5-1)

  9. anonymous
    • one year ago
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    F(16)-f(256)/ (5-1)?

  10. Vocaloid
    • one year ago
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    uh, not quite, the f's go away when you replace them (16-256) / (5-1) = ?

  11. anonymous
    • one year ago
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    -60 would be the answer?

  12. Vocaloid
    • one year ago
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    yup!

  13. anonymous
    • one year ago
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    So it would be -60; on average, there was a loss of 60 each round?

  14. Vocaloid
    • one year ago
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    yeah! you got it

  15. anonymous
    • one year ago
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    Thank you! Can you help me with a few more?

  16. Vocaloid
    • one year ago
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    sure

  17. anonymous
    • one year ago
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    Ok which of the following options results in a graph that shows exponential growth? f(x) = 0.4(0.2)^x f(x) = 4(0.98)^x f(x) = 0.7(5)^x f(x) = 5(4)^-x

  18. Vocaloid
    • one year ago
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    2 requirements for exponential growth: 1. the exponent must be positive 2. the ratio (the number in parentheses) must be greater than 1 given this information, which of the four choices do you think it is?

  19. anonymous
    • one year ago
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    F(x) = 0.7(5)^x?

  20. Vocaloid
    • one year ago
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    yeah, you got it ~

  21. anonymous
    • one year ago
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    Ok 3 more

  22. anonymous
    • one year ago
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    Which of the following options is an equivalent function to f(x) = 4(3)^2x f(x) = 36^x f(x) = 4(9)^x f(x) = 144^x f(x) = 4(6x)

  23. Vocaloid
    • one year ago
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    you can simplify (3^2)^x to 9^x, but you have to leave the 4 alone since it's not attached to the x f(x) = 4(9)^x

  24. anonymous
    • one year ago
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    Wait f(x) = 4(9)^x is the answer?

  25. Vocaloid
    • one year ago
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    yes

  26. anonymous
    • one year ago
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    Oh ok I would say explain but it seems you already did ok 2 more

  27. anonymous
    • one year ago
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    For f(x) = 0.01(2)^x, find the average rate of change from x = 12 and x = 15 3 40.96 95.57 286.72

  28. Vocaloid
    • one year ago
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    it's pretty much the same as the first problem you showed me [ f(15)-f(12) ] / ( 15-12) = ?

  29. anonymous
    • one year ago
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    I got 1 but it's not right

  30. Vocaloid
    • one year ago
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    ok, let's take it step by step f(15) = ?

  31. anonymous
    • one year ago
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    x?

  32. Vocaloid
    • one year ago
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    f(x) = 0.01(2)^x f(15) = ?

  33. anonymous
    • one year ago
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    I'm confused I'm so bad at math so your plugging in the 15 so it's f(15) = 0.01(2)^x?

  34. Vocaloid
    • one year ago
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    when you plug in 15, you replace "x" with 15 so f(15) = 0.01(2)^15

  35. anonymous
    • one year ago
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    Oh ok

  36. Vocaloid
    • one year ago
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    so, f(15) = ?

  37. anonymous
    • one year ago
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    So what do you do with f(15) = 0.01(2)^15

  38. anonymous
    • one year ago
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    0.01(2)^15

  39. Vocaloid
    • one year ago
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    just type it out on a calculator and tell me what you get

  40. anonymous
    • one year ago
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    I don't have that calculator I have to find it

  41. Vocaloid
    • one year ago
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    you can use an online calculator

  42. Vocaloid
    • one year ago
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    https://www.bing.com/search?q=0.01(2)%5E15&PC=U316&FORM=CHROMN

  43. anonymous
    • one year ago
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    327.68

  44. Vocaloid
    • one year ago
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    right, now find f(12)

  45. anonymous
    • one year ago
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    40.96

  46. Vocaloid
    • one year ago
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    right, now go back to the formula I gave you back then [f(15)-f(12)] / (15-12) = ?

  47. anonymous
    • one year ago
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    286.72

  48. anonymous
    • one year ago
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    ?

  49. Vocaloid
    • one year ago
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    you still need to divide by (15-12)

  50. anonymous
    • one year ago
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    I did I divided 286.72 by 286.72 and I got 1 or do you divide 286.72 by 3

  51. Vocaloid
    • one year ago
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    you divide by 3

  52. anonymous
    • one year ago
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    95.57?

  53. Vocaloid
    • one year ago
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    yeah! that's our answer

  54. anonymous
    • one year ago
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    Ok this ones a graph

  55. anonymous
    • one year ago
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    Identify the domain of the exponential function shown in the following graph: All real numbers All positive numbers 1 less than or equal to x less than or equal to 30 All integers

  56. anonymous
    • one year ago
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    Idk how to to add the graph I'm on my phone

  57. Vocaloid
    • one year ago
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    can you try to draw what it looks like?

  58. anonymous
    • one year ago
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    How do you draw it?

  59. Vocaloid
    • one year ago
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    I'm not sure what you would do on a phone

  60. Vocaloid
    • one year ago
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    Is there a "draw" button anywhere?

  61. anonymous
    • one year ago
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    Ok hold on

  62. anonymous
    • one year ago
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    A curve runs just above the x axis through the second quadrant, passes through point 0 comma 1 and continues off screen near 1 comma 12.

  63. Vocaloid
    • one year ago
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    it seems like the domain would be all real values since there aren't any gaps or asymptotes

  64. anonymous
    • one year ago
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    Oh ok

  65. Vocaloid
    • one year ago
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    the first one is the best choice here

  66. anonymous
    • one year ago
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    I can try attach the graph if it would help strengthen the answer

  67. anonymous
    • one year ago
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    No need I got them all right thank you!!!

  68. Vocaloid
    • one year ago
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    great

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