Question

Blood Alcohol Level The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is given by the function below.

A(t) = 0.2te^−0.5t     (0 ≤ t ≤ 12)

At how long (in hr) after drinking the alcohol is the percentage of alcohol in the person's bloodstream at its highest level? (Round your answer to two decimal places.)

t = ___________- hr

What is the level (in %)? (Round your answer to three decimal places.)

_______________%

Pharmaceutical Theft. Pharmaceutical theft has been rising rapidly in recent years. Experts believe that pharmaceuticals are the new "street gold." The value of stolen drugs (in millions of dollars per year) from 2007 through 2009 is approximated by the function.

f(t) = 20.5e^0.74t      (1 ≤ t ≤ 3)

where t is the number of years since 2007†. Find the rate of change of the value of stolen drugs at t=1.

$_______ millions per year

Answer 1