After alcohol is fully absorbed into the body, it is metabolized. Suppose that after consuming several alcoholic drinks earlier in the evening, your blood alcohol concentration (BAC) at midnight is 0.14 g/dL. After 1.5 hours your BAC is half this amount.
(a) Find an exponential model for your BAC t hours after midnight.
(b) Graph your BAC and use the graph to determine when your BAC reaches the legal limit of 0.08 g/dL.