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 2 years ago
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
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?

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saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0s.k. fans = x a64 fans = y y = 343 + x i get till here..

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0im thinking y + 2a = x + 3a?

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2After z weeks the number of fans of s.k= x+3z and a64= y+2z

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0no wait..that's for them to equal..

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0if s.k. will double then 2(y + 2z) = x + 3z?

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2now we want them to be twice, so we want x+3z=2(y+2z)

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0y1 = 3/7 x y2 = 2/7 x + 343

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0x + 3z = 2y + 4z x  2y = z what does that mean?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0y1 = 3/7 x y2 = 2/7 x + 343 y1 = 2y2 solve for x

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0how did you get those @ganeshie8 ?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0y1: 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

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2yea agreed^ why did i introduce a new variable O_O?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0to start with, a64 has 343 as y intercept.. hope you get the idea..

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.03/7 x = 2(2/7x +343) 3/7 x  4/7 x = 868 1/7 x = 868??? this seems weird

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0but still negative so weird o.O

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0So sk should start asking people to unfan him? :O

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0Sounds like a plan. NOT.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0s.k should put up a teenage asian girl...

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, this sounds like a better plan. :D

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0what is this guy typing from a hour?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0even with values im getting negative lol

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0me.. ? im not typing anythign... just watching hindi movie i thoutht lgba got the answer... ?

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0No, i was talking about lgba.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0no i didnt get the answer..im getting negatives

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0the 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

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0yeah that can happen in reality... but equations.. we should get +ve numb er of days

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0let's try solving for equal first... x + 3z = y + 2z z = y  x <this is the time when they become equal

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0assuming 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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0so if z + n = a + a = 0??? o.O

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2equal? u want it twice..

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0wth am i doing wrong =_=

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0well it didnt work lol..i just tried

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0why am i getting negative @Akshay_Budhkar ? any ideas>

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2i am working on it gimme a moment

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0ugh i gtg...will be back in an hour... if any one of you got some ideas pls feel free to post it here

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i dont think i did anything wrong in the solution :/

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2are we missing an equation??

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2yea 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

abstracted
 2 years ago
Best ResponseYou've already chosen the best response.0I 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?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0well 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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0@ganeshie8 still nothing? even if there are values?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0343 + 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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0how did you get 343 again?

blockcolder
 2 years ago
Best ResponseYou've already chosen the best response.0You 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.

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2@ganeshie8 the straight line stuff wont work, the intercept is wrong, you dont know the intercept. @lgba the question is incomplete...

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0@lgbasallote , come up with the complete question next time! _ i want to find a way out.

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0@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 + ....

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2@ganeshie8 it is pretty illogical... he can achieve his goal!! He is going at a faster rate man

Akshay_Budhkar
 2 years ago
Best ResponseYou've already chosen the best response.2lol take real life example of 0 fans and 343 fans and solve, it works

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0for positive values of t, 3t <= 2(2t + 300 ) u agree... ?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0but 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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0let'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

Limitless
 2 years ago
Best ResponseYou've already chosen the best response.0Let \(x\) be a64's number of fans. Let \(y\) be s.k.'s number of fans. We have \(y(x; w=0)=x_i343.\) which is the initial value for \(y\) based on the initial value of \(x.\) Based on how they gain fans, we have: \(y(x,w)=x_i343+3w.\) We want to find the point at which \(y(x,w)=2x(w)\). Note that \(x(w)=x_i+2w.\) Thus we have, \(x_i343+3w=2x_i+4w.\) Let's let \(x_i\) be a constant. So, we have: \(x_i343=w\) 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. \(y(x;w=0)=x_i343\) 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 \(w=y_02x_0.\) 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 \(w=x_0y_0.\) 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.

Limitless
 2 years ago
Best ResponseYou've already chosen the best response.0Oh, 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.

Limitless
 2 years ago
Best ResponseYou've already chosen the best response.0(Note: that infinity should be \(+\infty.\))

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0@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)"

Limitless
 2 years ago
Best ResponseYou've already chosen the best response.0@ganeshie8, I just said that. You essentially copied my work.

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0lol.. i copied your work :)

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0but...but... T_T sorry @saifoo.khan seems amistre is unbeatable

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0but...but... T_T sorry @saifoo.khan seems amistre is unbeatable

Limitless
 2 years ago
Best ResponseYou've already chosen the best response.0@lgbasallote, you can get above amistre. You simply cannot get to where you are double him.

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0yeah...what i meant lol

saifoo.khan
 2 years ago
Best ResponseYou've already chosen the best response.0@lgbasallote = Good for nothing!!! =__= Jk
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