Question

The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by

A(t) = 0.23te−0.4t (0 ≤ t ≤ 12).†

(a) What is the percentage of alcohol in a person's bloodstream after 12 hr? (Round your answers to three decimal places.)

Answer 1

(a) 0.023%

Explanation:

Fill in the given number and do the arithmetic.

A(12) = 0.23·12·e^(-0.4·12) ≈ 0.0227 ≈ 0.023

The percentage of alcohol in the blood 12 hours after the drink is about 0.023.