"per capita carbon footprints increase in proportion to income." If this statement is unconditionally true, no one will be willing make the necessary sacrifices

"per capita carbon footprints increase in proportion to income." If this statement is unconditionally true, no one will be willing make the necessary sacrifices to prevent climate change. If the rich show that they are willing to make some sacrifices and reduce their footprint significantly, then the poor will be more willing to participate in the fight against climate change.