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Math Help - Increase or Decrease?

  1. #1
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    Increase or Decrease?

    If I have:

    k1 = (s/(n + v))(1/(1-b)) and k2 = A(s/(n+v+z))(1/(1-b))
    where A >1 , 1>b>0, and s,n,v,z>0

    is k1 greater than, equal to, or less than k2 ?

    I'm losing my mind on this one! Any help greatly appreciated.
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  2. #2
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    Re: Increase or Decrease?

    What does this question have to do with increase or decrease?
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  3. #3
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    Re: Increase or Decrease?

    I want to see if my 'k' is increasing or decreasing. If I were to graph k on a number line, would my second point be an increase, a decrease, or the same as my original k value?
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  4. #4
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    Re: Increase or Decrease?

    As we can see we have
    s/(n+v) > s / ( n+v+z) because n,v,z > 0
    Thus [ s/(n+v)]^ 1/(1-b) > [ s / ( n+v+z)] ^ 1/(1-b)
    Also The value of k1 and k2 hereafter will depend on the value of A which may make k1 greater than, equal to or less than k2
    Thanks from Quixotic
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