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lgbasallote Group Title

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?

  • 2 years ago
  • 2 years ago

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  1. saifoo.khan Group Title
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    LOL. nice thought.

    • 2 years ago
  2. saifoo.khan Group Title
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    s.k. fans = x a64 fans = y y = 343 + x i get till here..

    • 2 years ago
  3. lgbasallote Group Title
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    im thinking y + 2a = x + 3a?

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

    • 2 years ago
  5. lgbasallote Group Title
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    no wait..that's for them to equal..

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

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

    • 2 years ago
  8. ganeshie8 Group Title
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    y1 = 3/7 x y2 = 2/7 x + 343

    • 2 years ago
  9. lgbasallote Group Title
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    x + 3z = 2y + 4z x - 2y = z what does that mean?

    • 2 years ago
  10. lgbasallote Group Title
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    x - 2(343 + x)?

    • 2 years ago
  11. ganeshie8 Group Title
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    y1 = 3/7 x y2 = 2/7 x + 343 y1 = 2y2 solve for x

    • 2 years ago
  12. lgbasallote Group Title
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    how did you get those @ganeshie8 ?

    • 2 years ago
  13. ganeshie8 Group Title
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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

    • 2 years ago
  14. Akshay_Budhkar Group Title
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    yea agreed^ why did i introduce a new variable O_O?

    • 2 years ago
  15. saifoo.khan Group Title
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    lol ^

    • 2 years ago
  16. ganeshie8 Group Title
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    to start with, a64 has 343 as y intercept.. hope you get the idea..

    • 2 years ago
  17. lgbasallote Group Title
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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

    • 2 years ago
  18. lgbasallote Group Title
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    uhm it's 686 lol

    • 2 years ago
  19. lgbasallote Group Title
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    but still negative so weird o.O

    • 2 years ago
  20. saifoo.khan Group Title
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    So sk should start asking people to unfan him? :O

    • 2 years ago
  21. lgbasallote Group Title
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    lol =)))))

    • 2 years ago
  22. saifoo.khan Group Title
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    Sounds like a plan. NOT.

    • 2 years ago
  23. lgbasallote Group Title
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    s.k should put up a teenage asian girl...

    • 2 years ago
  24. lgbasallote Group Title
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    pic

    • 2 years ago
  25. saifoo.khan Group Title
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    Ok, this sounds like a better plan. :D

    • 2 years ago
  26. saifoo.khan Group Title
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    what is this guy typing from a hour?

    • 2 years ago
  27. lgbasallote Group Title
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    even with values im getting negative lol

    • 2 years ago
  28. ganeshie8 Group Title
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    me.. ? im not typing anythign... just watching hindi movie i thoutht lgba got the answer... ?

    • 2 years ago
  29. saifoo.khan Group Title
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    No, i was talking about lgba.

    • 2 years ago
  30. lgbasallote Group Title
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    no i didnt get the answer..im getting negatives

    • 2 years ago
  31. lgbasallote Group Title
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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

    • 2 years ago
  32. saifoo.khan Group Title
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    Possibility..

    • 2 years ago
  33. ganeshie8 Group Title
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    yeah that can happen in reality... but equations.. we should get +ve numb er of days

    • 2 years ago
  34. lgbasallote Group Title
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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

    • 2 years ago
  35. lgbasallote Group Title
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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

    • 2 years ago
  36. lgbasallote Group Title
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    so if z + n = -a + a = 0??? o.O

    • 2 years ago
  37. saifoo.khan Group Title
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    LOL.

    • 2 years ago
  38. Akshay_Budhkar Group Title
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    equal? u want it twice..

    • 2 years ago
  39. lgbasallote Group Title
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    wth am i doing wrong =_=

    • 2 years ago
  40. lgbasallote Group Title
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    well it didnt work lol..i just tried

    • 2 years ago
  41. lgbasallote Group Title
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    why am i getting negative @Akshay_Budhkar ? any ideas>

    • 2 years ago
  42. Akshay_Budhkar Group Title
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    i am working on it gimme a moment

    • 2 years ago
  43. lgbasallote Group Title
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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

    • 2 years ago
  44. ganeshie8 Group Title
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    ok me too confused..

    • 2 years ago
  45. lgbasallote Group Title
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    i dont think i did anything wrong in the solution :/

    • 2 years ago
  46. Akshay_Budhkar Group Title
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    are we missing an equation??

    • 2 years ago
  47. Akshay_Budhkar Group Title
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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

    • 2 years ago
  48. Akshay_Budhkar Group Title
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    @saifoo.khan ^

    • 2 years ago
  49. abstracted Group Title
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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?

    • 2 years ago
  50. lgbasallote Group Title
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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

    • 2 years ago
  51. lgbasallote Group Title
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    @ganeshie8 still nothing? even if there are values?

    • 2 years ago
  52. ganeshie8 Group Title
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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

    • 2 years ago
  53. ganeshie8 Group Title
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    @mathslover

    • 2 years ago
  54. lgbasallote Group Title
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    how did you get 343 again?

    • 2 years ago
  55. blockcolder Group Title
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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.

    • 2 years ago
  56. lgbasallote Group Title
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    wait what?

    • 2 years ago
  57. Akshay_Budhkar Group Title
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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...

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

    • 2 years ago
  59. ganeshie8 Group Title
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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 + ....

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

    • 2 years ago
  61. Akshay_Budhkar Group Title
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    lol take real life example of 0 fans and 343 fans and solve, it works

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

    • 2 years ago
  63. ganeshie8 Group Title
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    @Akshay_Budhkar

    • 2 years ago
  64. lgbasallote Group Title
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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

    • 2 years ago
  65. lgbasallote Group Title
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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

    • 2 years ago
  66. Limitless Group Title
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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.

    • 2 years ago
  67. Limitless Group Title
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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.

    • 2 years ago
  68. Limitless Group Title
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    (Note: that infinity should be \(+\infty.\))

    • 2 years ago
  69. ganeshie8 Group Title
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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)"

    • 2 years ago
  70. Limitless Group Title
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    @ganeshie8, I just said that. You essentially copied my work.

    • 2 years ago
  71. ganeshie8 Group Title
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    lol.. i copied your work :)

    • 2 years ago
  72. lgbasallote Group Title
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    but...but... T_T sorry @saifoo.khan seems amistre is unbeatable

    • 2 years ago
  73. lgbasallote Group Title
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    but...but... T_T sorry @saifoo.khan seems amistre is unbeatable

    • 2 years ago
  74. Limitless Group Title
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    @lgbasallote, you can get above amistre. You simply cannot get to where you are double him.

    • 2 years ago
  75. lgbasallote Group Title
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    yeah...what i meant lol

    • 2 years ago
  76. saifoo.khan Group Title
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    @lgbasallote = Good for nothing!!! =__= Jk

    • 2 years ago
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