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 an equation of the form, R = e k x where x is the percent 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 this value of k , what is the relative risk if the concentration is 0.17 percent? c. Using the same value of k , what concentration of alcohol corresponds to a relative risk of 100? d. 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 DU I? e. Compare this situation with that of Example 10. If you were a lawmaker, which situation would you support? Give your reasons.
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 an equation of the form, R = e k x where x is the percent 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 this value of k , what is the relative risk if the concentration is 0.17 percent? c. Using the same value of k , what concentration of alcohol corresponds to a relative risk of 100? d. 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 DU I? e. Compare this situation with that of Example 10. If you were a lawmaker, which situation would you support? Give your reasons.
Alcohol and Driving The concentration of alcohol in a person's bloodstream is measurable. Suppose that the relative risk
of having an accident while driving a car can be modeled by an equation of the form,
where
is the percent concentration of alcohol in the bloodstream and
is a constant.
a. Suppose that a concentration of alcohol in the bloodstream of
percent results in a relative risk of an accident of
. Find the constant
in the equation.
b. Using this value of
, what is the relative risk if the concentration is
percent?
c. Using the same value of
, what concentration of alcohol corresponds to a relative risk of 100?
d. 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 DU I?
e. Compare this situation with that of Example 10. If you were a lawmaker, which situation would you support? Give your reasons.
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