We have finally arrived at some models that we think can represent the underlying process best. It is now a simple matter of finding out when our infrastructure will reach 100,000 requests per hour. We have to calculate when our model function reaches the value of 100,000. Because both models (degree 2 and 3) were so close together, we will do it for both.
With a polynomial of degree 2, we could simply compute the inverse of the function and calculate its value at 100,000. Of course, we would like to have an approach that is easily applicable to any model function.
This can be done by subtracting 100,000 from the polynomial, which results in another polynomial, and finding its root. SciPy's optimize module has ...
