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Given values for original from 0 to 100, I need to calculate result where:

original = 0 corresponds to result = 2000

and

original = 200 corresponds to result = 200

Currently I am using this formula:

result = maxValue - (original * coefficient)

A simple example:

original    result    coefficient    maxValue
0           2000      18             2000
1           1982
2           1964      
3           1946      
4           1928
5           1910
6           1892
7           1874
8           1856
9           1838
10          1820
20          1640
80          560
90          380
91          362
92          344
93          326
94          308
95          290
96          272
97          254
98          236
99          218
100         200

I would like to know:

  • a) If you could suggest me a different formula, please write an example and a brief simple term explanation.

  • b) Which formula to use to find out original if I know only result (reverse), example for result = 1820, original should be 10 and so on.

Radex
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  • Please feel free to suggest a better title and tag if you think it is appropriate, as I am new user of this community :) thanks – Radex Jan 03 '17 at 12:52
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    What do you mean by "clever" ? What is there to be improved ? –  Jan 03 '17 at 12:54
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    That seems to be $;f(x):=2,000-18x;,;;x\in{0,1,2,3,...,100};$ – DonAntonio Jan 03 '17 at 12:54
  • $$y=ax+b\to x=(y-b)/a$$ –  Jan 03 '17 at 12:55
  • Thanks for your feedback, I have edited my question. Could you please add a simple explanation (like step by steps) as I am not really familiar with the sign in your formula, thanks. – Radex Jan 03 '17 at 13:00
  • If you also use my named variables in the answer I would appreciate it – Radex Jan 03 '17 at 13:12

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