The average blood alcohol concentration (bac) of eight male subjects was measured after consumption of 15 ml of ethanol (corresponding to one alcoholic drink). The resulting data were modeled by the concentration function c (t) = 0.0225te-0.0467t

Question

Rey Salas

Chemistry

23 November, 01:52

The average blood alcohol concentration (bac) of eight male subjects was measured after consumption of 15 ml of ethanol (corresponding to one alcoholic drink). The resulting data were modeled by the concentration function c (t) = 0.0225te-0.0467t

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Answers (1)

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Kolton Gay · Answer 1

The answer is 0.01365.

Explanation:

C (t) = 0.0225te^?0.0467t

We can derivate,

C' (t) = d/dt (0.0225 te^-0.0467t)

after solving,

C' (t) = 0.0225 (e^-0.0467t - (0.0467e^-0.0467t. t)

Plug in t = 5,

Answer is C' (t) = 0.01365.