So, more DBZ math. I went to a math instructor to figure out if I could make some headway on a certain problem. Specifically, I'm trying to figure out, for any given power level, how fast in MPH a character can move. The long and short of it is I don't really have a solution yet, and given the current data, it may be impossible. But I now understand how to solve the problem, and what I need to do so.
With a power level of about 950, Goku moves across Snake Way at ~245 MPH. With a power level of 8000, he moves across Snake Way at ~13018 MPH. This is the simple stuff, basically just division based on how much time each journey took him. These numbers aren't exact, but it's close enough for me to not care about splitting hairs. I wanted to see, if based on this information, if it's possible to figure out MPH for any power level.
The math instructor said that this basically has to be graphed. Since it's clearly non-linear. The problem is, with just the points (950,245),(8000,13018) it's not possible to graph. Because obviously, those form a straight line, so you can't see how the line will curve, which means you can't determine a function for it. I could probably get a somewhat accurate third point for a power level of 5, since that is equal to the speed that an average person could run, but I was told many more points would be needed. The instructor speculated that it could be a natural logarithm, which would make it PL=y07050k but the instructor noted that is a huge assumption and is just as likely to be entirely wrong as it is to be accurate.