agreed. 1 to 1 would be an interesting result and probably a linear set of curves. But some curves look more like log scales so the effect depending on the slope of the curve could be wildly more or less.
I agree the classic diagrams are kind of crappy. As usually they are very simple just for demonstration. But to make both of those curves is usually more like a N dimensional curve. But remembering back on my econ classes I took they were excited about point slope formulas and maybe a mix of linear algebra in the advanced classes. Which was amusing from the CS/Math background which was my major.
I agree the classic diagrams are kind of crappy. As usually they are very simple just for demonstration. But to make both of those curves is usually more like a N dimensional curve. But remembering back on my econ classes I took they were excited about point slope formulas and maybe a mix of linear algebra in the advanced classes. Which was amusing from the CS/Math background which was my major.