Apologies if this is in the wrong section. Wasn't sure where to put it. While this is technically homework, I don't think it fits in the homework section In a paper I'm writing, I need to estimate the cost to society of future pollution. Reading relevant academic articles, it seems pretty clear that estimating this is basically impossible. I think I've come up with a method to base a reasonable approximation (at least reasonable enough for the paper) given two things: knowing the current level of pollution and the level of pollution at which humanity is likely to die out. I set the cost of pollution, C(P), where humanity goes extent to infinite (i.e.: no polluting activity is worth extinction) Then I tried to come up with a formula that would make C(P)=0 when P=0 and C(P)=(1/0) when pollution reached extinction levels. This is what I came up with: aP/(a-P) where a is the level of pollution at which humanity goes extinct. I'm also assuming that the costs of pollution grow exponentially. The intuition I'd like to assign to this equation is that, as the level of pollution grows its effects grow linearly (the numerator, and it also begins to effect more and more of the planet. What's right and what's wrong about this approach? Thanks in advance.