If you've ever played "idle games" (e.g. bloodrizer.ru/games/kittens/#) they've effectively taken this concept to the extreme. Everything is earned and paid for as a rate of $/second. This strongly encourages you to leave your system in a state of positive rate before letting it idle, else you'll return to a ruined society.

Back in the real world, I think people might have a better understanding of their finances if they could view their position as a continuous function rather than only seeing the discrete transactions as most of us currently do.