What math equation should I use to represent amount of caffeine according to this chart?

1 Answer

Answer :

Making the simplifying assumption that the drink goes in a single gulp and all the caffeine goes into the bloodstream immediately, all you are left with is exponential decay (caffeine metabolized) and step functions (caffeine uptake). Caffiene(new time) = [Caffiene(previous time) x (½)^(time step/half-life)] + Caffiene ingested at new time (see half-life)

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