According to the stellar economics analogy, how does the rate of fuel consumption scale with mass?

Answer

Proportional to a much higher power of mass ($L Arr M^3$ to $M^4$)

While fuel supply scales linearly with mass, the rate of consumption (luminosity) scales much faster, often simplified as $Luminosity \propto Mass^3$ to $Mass^4$, leading to disproportionately shorter lives for massive stars.

According to the stellar economics analogy, how does the rate of fuel consumption scale with mass?

#Videos

Which Type Of Star Has The Shortest Life Span? - Physics Frontier

evolutionlifespantypestarmass