After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.5 hours. Suppose you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (BAC) is 0.6 mg/mL.
(a) Find an exponential decay model for your BAC t hours after midnight.

So I know the half life occurs at every 1.5 hours

Question

After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.5 hours. Suppose you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (BAC) is 0.6 mg/mL.
(a) Find an exponential decay model for your BAC t hours after midnight. 

So I know the half life occurs at every 1.5 hours

anonymous · Answer

$$c(t)=a(2)^{\frac{ -t }{1.5 }}$$