The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption of15 mLof ethanol (corresponding to one alcoholic drink). The resulting data were modeled by the concentration functionC(t) = 0.0225te^0.0467t

wheretis measured in minutes after consumption andCis measured in mg/mL. (Round your answers to five decimal places.)

(a) How rapidly was the BAC increasing after8minutes?

(mg/mL)/min

(b) How rapidly was it decreasing half an hour later (t= 30)?

(mg/mL)/min