Posted by **zachary** on Thursday, March 21, 2013 at 4:39pm.

Alcohol and Driving The concentration of alcohol in a person’s bloodstream is measurable.

Suppose that the relative risk R of having an accident while driving a car can be modeled by the

equation

R = e

kx

where x is the percent of concentration of alcohol in the bloodstream and k is a constant.

(a) Suppose that a concentration of alcohol in the bloodstream of 0.03 percent results in a relative risk

of an accident of 1.4. Find the constant k in the equation.

(b)Using the same value of k, what concentration of alcohol corresponds to a relative risk of 100?

(c) If the law asserts that anyone with a relative risk of having an accident of 5 or more should not

have driving privileges, at what concentration of alcohol in the bloodstream should a driver be

arrested and charged with a DUI?