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As kids grow older, they become more expensive because they increasingly demand more money.
The reason they demand more money is because money becomes more valuable to them as they age.
The reason money becomes more valuable to them as they age is because they can buy more utility per dollar.
(I don't know if this is true, I'm just explaining the argument).
Analogous to: People who like chocolate more eat more chocolate, people will spend more money when the store has a special sales deal, etc. Lower prices//higher benefits drive up demand.