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lgbasallote

PLEASE HELP!!! IT'S 3 AM HERE AND I NEED THIS HOMEWORK EXPLAINED!!! OpenStudy user s.k has 343 fans less than a64. If s.k gets 3 fans a week while a64 gets 2 fans a week, how long will it take s.k to get twice the fans a64 has?

  • one year ago
  • one year ago

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  1. saifoo.khan
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    LOL. nice thought.

    • one year ago
  2. saifoo.khan
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    s.k. fans = x a64 fans = y y = 343 + x i get till here..

    • one year ago
  3. lgbasallote
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    im thinking y + 2a = x + 3a?

    • one year ago
  4. Akshay_Budhkar
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    After z weeks the number of fans of s.k= x+3z and a64= y+2z

    • one year ago
  5. lgbasallote
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    no wait..that's for them to equal..

    • one year ago
  6. lgbasallote
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    if s.k. will double then 2(y + 2z) = x + 3z?

    • one year ago
  7. Akshay_Budhkar
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    now we want them to be twice, so we want x+3z=2(y+2z)

    • one year ago
  8. ganeshie8
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    y1 = 3/7 x y2 = 2/7 x + 343

    • one year ago
  9. lgbasallote
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    x + 3z = 2y + 4z x - 2y = z what does that mean?

    • one year ago
  10. lgbasallote
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    x - 2(343 + x)?

    • one year ago
  11. ganeshie8
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    y1 = 3/7 x y2 = 2/7 x + 343 y1 = 2y2 solve for x

    • one year ago
  12. lgbasallote
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    how did you get those @ganeshie8 ?

    • one year ago
  13. ganeshie8
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    y1: number of fans of sk y2 : number of fans of a64 y1 is increasing his fans at a rate of 3 per 7 days right so slope of y1 is 3/7 put y1 equation in slope intercept form

    • one year ago
  14. Akshay_Budhkar
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    yea agreed^ why did i introduce a new variable O_O?

    • one year ago
  15. saifoo.khan
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    lol ^

    • one year ago
  16. ganeshie8
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    to start with, a64 has 343 as y intercept.. hope you get the idea..

    • one year ago
  17. lgbasallote
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    3/7 x = 2(2/7x +343) 3/7 x - 4/7 x = 868 -1/7 x = 868??? this seems weird

    • one year ago
  18. lgbasallote
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    uhm it's 686 lol

    • one year ago
  19. lgbasallote
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    but still negative so weird o.O

    • one year ago
  20. saifoo.khan
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    So sk should start asking people to unfan him? :O

    • one year ago
  21. lgbasallote
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    lol =)))))

    • one year ago
  22. saifoo.khan
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    Sounds like a plan. NOT.

    • one year ago
  23. lgbasallote
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    s.k should put up a teenage asian girl...

    • one year ago
  24. lgbasallote
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    pic

    • one year ago
  25. saifoo.khan
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    Ok, this sounds like a better plan. :D

    • one year ago
  26. saifoo.khan
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    what is this guy typing from a hour?

    • one year ago
  27. lgbasallote
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    even with values im getting negative lol

    • one year ago
  28. ganeshie8
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    me.. ? im not typing anythign... just watching hindi movie i thoutht lgba got the answer... ?

    • one year ago
  29. saifoo.khan
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    No, i was talking about lgba.

    • one year ago
  30. lgbasallote
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    no i didnt get the answer..im getting negatives

    • one year ago
  31. lgbasallote
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    the time when they equal is just easy...could it be that it's impossible for s.k to get double the fans of a64?? o.O

    • one year ago
  32. saifoo.khan
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    Possibility..

    • one year ago
  33. ganeshie8
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    yeah that can happen in reality... but equations.. we should get +ve numb er of days

    • one year ago
  34. lgbasallote
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    let's try solving for equal first... x + 3z = y + 2z z = y - x <---this is the time when they become equal

    • one year ago
  35. lgbasallote
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    assuming they are already equal let a be their values a + 3n = 2(a + 2n) a + 3n = 2a + 4n a - 2a = n <---the time when they double

    • one year ago
  36. lgbasallote
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    so if z + n = -a + a = 0??? o.O

    • one year ago
  37. saifoo.khan
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    LOL.

    • one year ago
  38. Akshay_Budhkar
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    equal? u want it twice..

    • one year ago
  39. lgbasallote
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    wth am i doing wrong =_=

    • one year ago
  40. lgbasallote
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    well it didnt work lol..i just tried

    • one year ago
  41. lgbasallote
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    why am i getting negative @Akshay_Budhkar ? any ideas>

    • one year ago
  42. Akshay_Budhkar
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    i am working on it gimme a moment

    • one year ago
  43. lgbasallote
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    ugh i gtg...will be back in an hour... if any one of you got some ideas pls feel free to post it here

    • one year ago
  44. ganeshie8
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    ok me too confused..

    • one year ago
  45. lgbasallote
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    i dont think i did anything wrong in the solution :/

    • one year ago
  46. Akshay_Budhkar
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    are we missing an equation??

    • one year ago
  47. Akshay_Budhkar
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    yea we need another equation, the answer will depend on the initial values of a and b!! try taking two diff sets of the numbers and solving

    • one year ago
  48. Akshay_Budhkar
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    @saifoo.khan ^

    • one year ago
  49. abstracted
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    I don't think you can solve this until you have another equation. We have 3 variables (a= s.k fans, b=a64 fans, and w=weeks) but only two equations, so it is unsolvable. right?

    • one year ago
  50. lgbasallote
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    well x and y dont really matter. as long as you get a numerical value...but let's say s.k has 914 fans and a64 was 1257..it still becomes negative

    • one year ago
  51. lgbasallote
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    @ganeshie8 still nothing? even if there are values?

    • one year ago
  52. ganeshie8
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    343 + 3t = 2{ 2t} => t = 343 weeks in 343 weeks sk fans will become twice that of a64. i am still lost in straight lines.. i want to see you or someone else explain the answer @lgbasallote @shubhamsrg @abstracted @Akshay_Budhkar

    • one year ago
  53. ganeshie8
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    @mathslover

    • one year ago
  54. lgbasallote
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    how did you get 343 again?

    • one year ago
  55. blockcolder
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    You can just say that every week, s.k's lead will be reduced by one so that after 343 weeks, s.k's lead will be zero.

    • one year ago
  56. lgbasallote
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    wait what?

    • one year ago
  57. Akshay_Budhkar
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    @ganeshie8 the straight line stuff wont work, the intercept is wrong, you dont know the intercept. @lgba the question is incomplete...

    • one year ago
  58. saifoo.khan
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    @lgbasallote , come up with the complete question next time! -_- i want to find a way out.

    • one year ago
  59. ganeshie8
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    @Akshay_Budhkar ,straight line logic may not tell the answer straight away.. but it works. @saifoo.khan , the question @lgbasallote posted is complete. answer is : sk can never achieve his goal. because with a 3t rate he can never reach 2(2t) value !! 3t < 2 (2t + 343) 3t < 4t + ....

    • one year ago
  60. Akshay_Budhkar
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    @ganeshie8 it is pretty illogical... he can achieve his goal!! He is going at a faster rate man

    • one year ago
  61. Akshay_Budhkar
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    lol take real life example of 0 fans and 343 fans and solve, it works

    • one year ago
  62. ganeshie8
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    for positive values of t, 3t <= 2(2t + 300 ) u agree... ?

    • one year ago
  63. ganeshie8
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    @Akshay_Budhkar

    • one year ago
  64. lgbasallote
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    but how could it not be possible?? o.O i mean soon s.k is gonna overtake a64 then after that s.k will always be leading there should be a time when s.k will get twice :O

    • one year ago
  65. lgbasallote
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    let's say both of them start at 0... 1st week - s.k is 3... a64 is 2 2nd week - 6 - 4 3rd week - 9 - 6 4th week - 12 - 8 5th week - 15 - 10 6th week - 18 -12 see how s.k's lead is gettingbigger...that should double sometime

    • one year ago
  66. Limitless
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    Let \(x\) be a64's number of fans. Let \(y\) be s.k.'s number of fans. We have \(y(x; w=0)=x_i-343.\) which is the initial value for \(y\) based on the initial value of \(x.\) Based on how they gain fans, we have: \(y(x,w)=x_i-343+3w.\) We want to find the point at which \(y(x,w)=2x(w)\). Note that \(x(w)=x_i+2w.\) Thus we have, \(x_i-343+3w=2x_i+4w.\) Let's let \(x_i\) be a constant. So, we have: \(-x_i-343=w\) We assume that \(x_i \in \mathbb{Z}^+.\) This tells us that \(y(x,w)\) will never have twice as many fans as \(x(w)\) if the functions behave as they have been defined. It actually says that we would have to go "backward" to reach a point where \(y(x,w)\) had twice as many fans as \(x(w)\). Also, you contradicted yourself, lgba: "let's say both of them start at 0..." This contradicts the premise that they would start in relation to one another. (i.e. \(y(x;w=0)=x_i-343\) and \(x(w)=x_i+2w.\)) Now let's suppose this: Both \(x\) and \(y\) start at some value \(x_0\) and \(y_0\) respectively. Their growth functions are \(x(w)=x_0+2w\) and \(y(w)=y_0+3w.\) If we want to find the point at which \(y(w)=2x(w),\) we have \(y_0+3w=2x_0+4w\) which is \(w=y_0-2x_0.\) You can see how this makes no sense in your original presumptions. We can continue this logic further and deduce that this problem makes no sense if \(x_0 > \frac{y_0}{2}.\) What I find most interesting is that while there is no point in future time that \(y(w)=2x(w),\) there is a point where \(y(w)=x(w).\) This happens to be \(w=x_0-y_0.\) It is this fact that makes one speculate that there is a point where \(y(w)=2x(w)\), but there is no such point in future time.

    • one year ago
  67. Limitless
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    Oh, cool! I also figured out something else: \[ \begin{align} f(x)&=m_fx+b_f\\ g(x)&=m_gx+b_g\\ \lim_{x \to \infty }\frac{f(x)}{g(x)}&=\frac{m_f}{m_g} \end{align} \] This explains everything.

    • one year ago
  68. Limitless
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    (Note: that infinity should be \(+\infty.\))

    • one year ago
  69. ganeshie8
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    @lgbasallote let's say both of them start at 0... 1st week - s.k is 3... a64 is 2 2nd week - 6 - 4 3rd week - 9 - 6 4th week - 12 - 8 5th week - 15 - 10 6th week - 18 -12 . . . 100th week - 300 - 200 1000th week - 3000 - 2000 10000th week - 30000 - 20000 lol both must have died by now... the trick is "a 3t rate can never increase its value to 2(2t)"

    • one year ago
  70. Limitless
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    @ganeshie8, I just said that. You essentially copied my work.

    • one year ago
  71. ganeshie8
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    lol.. i copied your work :)

    • one year ago
  72. lgbasallote
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    but...but... T_T sorry @saifoo.khan seems amistre is unbeatable

    • one year ago
  73. lgbasallote
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    but...but... T_T sorry @saifoo.khan seems amistre is unbeatable

    • one year ago
  74. Limitless
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    @lgbasallote, you can get above amistre. You simply cannot get to where you are double him.

    • one year ago
  75. lgbasallote
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    yeah...what i meant lol

    • one year ago
  76. saifoo.khan
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    @lgbasallote = Good for nothing!!! =__= Jk

    • one year ago
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