It's a whole bunch of variables, some of them more obvious than others.
1) The area of the carb's intake
2) The area of the jet's opening
3) The peak power RPM's
4) The cylinder displacement
intake area and jet area describe the fundamental ratio, but RPM's and displacement determine the vacuum draft, which in turn defines how much fuel is actually flowing.
So answering your second question first, the AREA (not diameter) of the jet's opening to the area of the carb (when holding peak power RPM's and displacement constant), is fairly linear.
(I literally built a spreadsheet to model estimated changes and tested them with an AFR over the weekend)
I didn't try to model the impact of a change in carb size, but playing the
https://kyajet.de and testing it out, they predict that changing from a 28 to a 38mm diameter carb (basically doubling intake area) only reduces the mixture ratio by about 5% at the main, but 10% leaner at half throttle and 15% leaner at 1/4 throttle, so go figure.
I'm not going to do the geometry to work out actual area for a segment of a circle like that, but I suspect it will be basically linear there, too.