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what init, mult, and add would you use to get the result: Level 1=107, Level 10=176.648, Level 20=270.082

Question

What init, mult, and add would you use to get the result:

  • Level 1 = 107
  • Level 10 = 176.648
  • Level 20 = 270.082
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Solution

The question seems to be asking for the parameters of a mathematical function that produces the given results at specific levels. The function seems to be of the form:

result = init + level * mult

Given the results at Level 1 and Level 10, we can set up two equations and solve for init and mult:

107 = init + 1 * mult
176.648 = init + 10 * mult

Subtracting the first equation from the second gives:

69.648 = 9 * mult

So mult = 69.648 / 9 = 7.73866666667.

Substituting mult back into the first equation gives:

107 = init + 1 * 7.73866666667

So init = 107 - 7.73866666667 = 99.2613333333.

However, if we substitute these values into the equation for Level 20, we get:

result = 99.2613333333 + 20 * 7.73866666667 = 254.935666667

This is not equal to the given result of 270.082 at Level 20. Therefore, it seems that the function is not linear, and we cannot find values of init and mult that will give the given results at all three levels.

If the function is not linear, then it might be exponential or polynomial, in which case we would need more information to determine the parameters.

This problem has been solved

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