>>11531876changes to the multiplier do occur and those changes are also multiplicative. there are functions that not only increase via multiplication, but also have their multiplier increase via multiplication.
for example,
(you can see why this does this when you pay attention to the x squared, a change in the increase in power is the same as a change to the multiplier)
maybe you could use these, with increasing powers of x, to model the change a bit like polynomial regression