Woman's 100m Olympic Gold Medal Data

Fitting curves to a set of real life data - in this case the winning time of the Olympic Woman's 100m athletics.
The black line represents a best fit line arrived at analytically by considering the fastest possible time for the event and considering a number of points (3) and some sim eqn analysis. The red line is the best fit line created by geogebra based on the function y = k.a^-x + c