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adl_thoo

  • one year ago

Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance? Play A: y = 15x + 76 Play B: y = –x^2 + 36x – 4

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  1. Luigi0210
    • one year ago
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    You could set both equations equal to each other or graph and see where they intersect.

  2. smokeydabear
    • one year ago
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    Yes, all you are trying to do is find where the two graphs intersect, so setting the two equal to each other will give you the answer.

  3. adl_thoo
    • one year ago
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    is that my quickest way? i have 40 questions. and im only on 13.

  4. Luigi0210
    • one year ago
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    Yes, listen to Miss Bear :P

  5. smokeydabear
    • one year ago
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    Judging from your previous problems, I think your teacher is emphasizing the quadratic formula, so yes you will have to go through it once again =P

  6. adl_thoo
    • one year ago
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    UGH , it confuses me badly.

  7. Luigi0210
    • one year ago
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    I could give the solution if that'll help speed things along for you?

  8. smokeydabear
    • one year ago
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    It confuses you? What part of it confuses you?

  9. adl_thoo
    • one year ago
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    everything.

  10. adl_thoo
    • one year ago
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    The attendance was the same on day 5. The attendance was 151 at both plays on that day. The attendance was the same on day 16. The attendance was 316 at both plays on that day. The attendance was the same on days 5 and 16. The attendance at both plays on those days was 151 and 316 respectively. The attendance was never the same at both plays. these are my answer choices.

  11. smokeydabear
    • one year ago
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    It is a strategy used to figure out what value x has to be to make the quadratic equation equal to 0. Does that help?

  12. smokeydabear
    • one year ago
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    Honestly I am trying my hardest not to solve the problem, both for your practice and to fuel my laziness xD Luigi, would you like to solve it?

  13. Luigi0210
    • one year ago
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    Do you want a graph to help visual the equations?

  14. adl_thoo
    • one year ago
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    it doesnt matter. thats fine.

  15. Luigi0210
    • one year ago
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    It's kinda big sorry about the size

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  16. smokeydabear
    • one year ago
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    Now that you see the intersecting points, you have to realize something about this problem. This is a problem that is using months for the x axis. Tell me why there is in reality only one solution to this problem?

  17. adl_thoo
    • one year ago
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    okat, hmmm...

  18. smokeydabear
    • one year ago
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    Don't overthink it, this is more of a common sense thing. Also, you could see the reason using the attendance number as well (y axis).

  19. Luigi0210
    • one year ago
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    If I solved it right, and I probably didn't but the exact answer would be \[\frac{ -21+/-\sqrt{761} }{ 2}\]

  20. Luigi0210
    • one year ago
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    But it would be the positive answer because you can't have negative units

  21. adl_thoo
    • one year ago
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    would it be C? The attendance was the same on days 5 and 16. The attendance at both plays on those days was 151 and 316 respectively.

  22. smokeydabear
    • one year ago
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    Look at what Luigi wrote. You can't have a negative number of people, or negative number of months for that matter.

  23. Luigi0210
    • one year ago
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    The points of intersection is (3.2931, 125.397)

  24. adl_thoo
    • one year ago
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    exactly. so answer C would be correct, right?

  25. smokeydabear
    • one year ago
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    I may just be looking at the graph wrong, but that shouldn't be it. C is telling you that there are two solutions to this problem. What Luigi and I were trying to tell you is that there is only one valid answer here.

  26. smokeydabear
    • one year ago
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    Are you understanding what I'm saying?

  27. Luigi0210
    • one year ago
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    So what the intersection points are say is that there are 125 people on day 3

  28. Luigi0210
    • one year ago
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    Are you understanding this or are getting more confused? :l

  29. adl_thoo
    • one year ago
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    more confused.

  30. Luigi0210
    • one year ago
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    I'm sorry ^_^' what specifically is confusing you?

  31. smokeydabear
    • one year ago
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    Okay think about it like this. If you were to take exactly what the graph told you as the solutions of the problem, you would have a negative number for something that can't be negative.

  32. adl_thoo
    • one year ago
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    a lot. idk why i think it is C .. idk ): is it B ?

  33. smokeydabear
    • one year ago
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    C would make sense if you were just trying to find solutions to the raw graphs, but we are looking at a real life scenario.

  34. adl_thoo
    • one year ago
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    exactly... so, would it change my answer to B ?

  35. smokeydabear
    • one year ago
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    I feel like it's A, because the point on the graph looks more like (5, 151) than (16, 316)

  36. Luigi0210
    • one year ago
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    You're probably thinking of it as a general graph like bear is saying. But think of it this way. When dealing with real life, is it possible to have negative audience and/or negative days?

  37. adl_thoo
    • one year ago
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    no.. so, a ,, is correct?

  38. Luigi0210
    • one year ago
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    And what are the solution choices? I must of missed them ._.

  39. smokeydabear
    • one year ago
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    It was (5, 151) for A, and (16, 316) for B. C said that both are true, and D said neither are true.

  40. adl_thoo
    • one year ago
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    yeah, what she said . ^_*

  41. Luigi0210
    • one year ago
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    I'd say D.

  42. Luigi0210
    • one year ago
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    But yet again she is the smart one here so..

  43. smokeydabear
    • one year ago
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    But what is bothering me is why they would consider (16, 316) as a possible solution. It's not even the negative solution... it's not anywhere on the graph xD

  44. smokeydabear
    • one year ago
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    Maybe the graph is wrong...

  45. adl_thoo
    • one year ago
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    ahhh , im confused. @primeralph , what would your input be on this question ?

  46. Luigi0210
    • one year ago
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    Oops, bear is right I used the wrong equation

  47. Luigi0210
    • one year ago
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    it is (5, 151)

  48. adl_thoo
    • one year ago
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    ohh goodness. so my answer is A ?

  49. Luigi0210
    • one year ago
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    I'm so sorry for messing this up D:

  50. smokeydabear
    • one year ago
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    Oh okay, but I just plugged the B coordinates into the original equations, and it worked.

  51. smokeydabear
    • one year ago
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    Let me try for A next.

  52. Luigi0210
    • one year ago
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    I'm so sorry for messing this up D:

  53. primeralph
    • one year ago
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    Imma just say, equate the two y's. Find an x. Then plug into any one of the equations.

  54. adl_thoo
    • one year ago
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    its fine.. & okay, ive gotten so confused. idk what to do :(

  55. primeralph
    • one year ago
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    @adl_thoo cheeel

  56. smokeydabear
    • one year ago
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    Okay I just confirmed that it is B

  57. Luigi0210
    • one year ago
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    And no you were right the answer is A or whatever the points are

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  58. smokeydabear
    • one year ago
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    The graph threw me off, I just went brute force and plugged everything in, and only (16, 316) worked.

  59. adl_thoo
    • one year ago
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    so its B ?

  60. smokeydabear
    • one year ago
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    But aren't they equal at (16, 316)? Luigi, can you plug in the points into the equations to check?

  61. Luigi0210
    • one year ago
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    As it turns out both work :/

  62. Luigi0210
    • one year ago
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    So adl was right after all

  63. smokeydabear
    • one year ago
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    Oh look, my calculator was messing with me. Yes both work.

  64. smokeydabear
    • one year ago
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    My calculator never did like order of operations -.-

  65. primeralph
    • one year ago
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    |dw:1368580026141:dw|

  66. primeralph
    • one year ago
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    yo, was I too late?

  67. Luigi0210
    • one year ago
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    Naw :P

  68. adl_thoo
    • one year ago
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    noo . im still figuring this out.

  69. smokeydabear
    • one year ago
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    We were struggling for a long time and eventually got it, but your input helps reassure us, or me at least ^^

  70. primeralph
    • one year ago
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    plug in both 5 and 16 separately into eq A. That gives the number of people

  71. adl_thoo
    • one year ago
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    Sooo , wasit A B or C ?

  72. Luigi0210
    • one year ago
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    My stupidity has made this a bit harder than it needed to be

  73. Luigi0210
    • one year ago
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    and C

  74. smokeydabear
    • one year ago
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    It is C, because both work.

  75. smokeydabear
    • one year ago
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    That was extremely stressful...

  76. adl_thoo
    • one year ago
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    lol, itss, yay !! :D thanks guys.

  77. primeralph
    • one year ago
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    I don't know what the options are. It's really not stressful at all

  78. adl_thoo
    • one year ago
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    veryyyy !

  79. primeralph
    • one year ago
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    errr.............I knew what to do.............

  80. adl_thoo
    • one year ago
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    shoot, i didnt.

  81. Luigi0210
    • one year ago
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    It was just because I graphed the wrong equations :l

  82. smokeydabear
    • one year ago
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    It was only confusing because of Luigi's graph! >:0 But it's okay Luigi, I still wuv you <3

  83. primeralph
    • one year ago
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    so what did you get?

  84. Luigi0210
    • one year ago
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    Next time don't listen to me :P

  85. adl_thoo
    • one year ago
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    its okay guys :) we got it as The attendance was the same on days 5 and 16. The attendance at both plays on those days was 151 and 316 respectively.

  86. primeralph
    • one year ago
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    yeah

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