Food satisfaction impact model

Food satisfaction is interesting. I have been doing this experiment on myself have been trying to model the idea of “food satisfaction impact”. When you eat any food, your satisfaction goes up. And then, it starts to decay.

What I am learning is that the accumulation of satisfaction follows a log. And then the decay of that satisfaction follows an inverse exponential.

But, it’s of course, it doesn’t go up linearly.

So, the hack or trick is that you can impulse with less and you can get decay for about the same amount . And this way total consumed calories is less.