Can you help find the correct equation for a changing graph with this data?

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SUMMARY

The discussion centers on finding a suitable mathematical equation to model a changing graph based on specific data points. The user, Gelsamel, proposes equations such as y = x + (m/(ax^n + b)) + c and variations of x modified by a percentage that decreases as x increases. The challenge lies in accurately representing the relationship between x and y, particularly as x approaches 3000, where the expected output does not align with the calculated results. The conversation highlights the complexity of deriving a fitting equation for arbitrary datasets.

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  • Familiarity with mathematical modeling techniques
  • Knowledge of graphing and data visualization tools
  • Basic proficiency in algebra and equation manipulation
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  • Research "exponential decay functions" to understand their application in modeling
  • Explore "curve fitting techniques" for deriving equations from datasets
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  • Investigate graphing software like "Desmos" or "GeoGebra" for visualizing equations
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Mathematicians, data analysts, and anyone involved in mathematical modeling or graphing who seeks to understand how to derive equations from changing datasets.

Gelsamel Epsilon
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y = x+(m/(ax^n+b)+c?

I'm trying to find the equation for a graph in which the equation changes for different points.
The graph can be made accurate upto 1500, but after that it becomes inacurate for my numbers, using this equation;
x+(x*(.8-(\frac{3x}{5000})
or
x*(1.80-(\frac{3x}{5000}))
As you can see, it's sort of like modifying x by a percentage, that decreases as x gets bigger, an equation which changes as x does. At 0 the modifer is 180% or +80%, at 50 it's 177% (+77%), the modifer drops 3% each 50 along the x axis. At 500 its 150%, at 1000 its 120% all the way down to 0% at 3000, The problem with this is that when ever I put this into a calculator it doesn't go 3000+(0% of 3000) which WOULD = 3000, instead it somehow calculates 3000 x 0% = 0.
The idea is that as x increases y increases but at a slower rate, like an exponential function (if X > 0). Problem is I can't find any exponential function to fix it (My calculator is gay, and even though the numbers are fairly round I can't manually find one that fits it, every time I get close and add a +c to the equation it goes spastic), it was suggested to me that maybe it is a, x+(\frac{m}{ax^n+b})+c type equation which would complicate things.
Maybe I am looking to hard, maybe I'm just an idiot but after a few hours of thinking about it my head is startinig to hurt and I'm getting lazy so any help will be usefull.
~Gelsamel
I might have to edit this if the tex is stuffed up, first time using it lol.
Edit: Okay I think I got the tex stuff down. Hehe.
 
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Bump, 60 views no reply. Is my question too difficult or just silly?
 
You have not provided any usefull information. It is not easy, or even possible, to always find a relationship which describes and arbitrary data set.

Tell us more about the data? Where did it come from? What is the physical situation?

While I admire your efforts, they do not help us help you.
 

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