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Modeling - Reciprocal Function

  1. Apr 20, 2012 #1
    Hi, I am currently trying to model a set of data using a reciprocal function. I picked a couple of points, substituted the y and x values into two equations but I can't solve it!

    Here is an example:

    y = A / (Bx)

    30 = A / (4.5B)

    0.1 = A / (20B)

    I tried solving it by all methods I know of but. For simplification purposes and to show evidence of my work I will show only one method:

    From Equation 1: A = 135 B

    Therefore, substituting into equation 2: 0.1 = 135 B / 20 B

    The Bs cancel here and I can't get an answer.

    Any help please?

    Thanks!
     
  2. jcsd
  3. Apr 21, 2012 #2
    Your version really only involves one constant, since A / (Bx) = (A/B) * (1/x) = C/x, where C = A/B. So you're essentially trying to fit two points to a one-parameter family, which isn't always guaranteed. I'd try writing y = A / (x + B). If you have three points, you can try y = A / (Bx + C), but that can just be reduced to the previous form. It might give you a better fit, though.
     
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