The concentration of alcohl 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 an equation of the form R=e^kx where x is the percent of concentration of alcohol in the bloodstream and k is a constant. 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 shoulda driver be arrested and charged with a DUI?

Talon Mcbride

Talon Mcbride

Answered question

2022-07-18

The concentration of alcohl 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 an equation of the form R = e k x where x is the percent of concentration of alcohol in the bloodstream and k is a constant. 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 shoulda driver be arrested and charged with a DUI?

Answer & Explanation

Tristan Pittman

Tristan Pittman

Beginner2022-07-19Added 14 answers

Determine the value of x by substituting the obtained value for k and the given value for R in the given equation.
5 = e 11.22 x
11.22 x = ln 5
11.22 x 11.22 = ln 5 11.22
x = 1.6094 11.22
x=0.14
Therefore, a driver should be arrested and charged with a DUI if his concentration of alcohol in the blood is already 0.14 percent.
Result:
0.14%

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