Write the Word or Phrase That Best Completes Each Statement $$\mathrm { R } = 4 \mathrm { e } ^ { \mathrm { kx } }$$

question 159

Essay

Write the word or phrase that best completes each statement or answers the question.
-The concentration of alcohol in a person's blood is measurable. Suppose that the risk R (given as a percent) of having an
accident while driving a car can be modeled by the equation $$\mathrm { R } = 4 \mathrm { e } ^ { \mathrm { kx } }$$ where x is the variable concentration of alcohol in the blood and k is a constant.
(a) Suppose that a concentration of alcohol in the blood of 0.09 results in a 14% risk (R = 14) of an accident. Find the
constant k in the equation.
(b) Using this value of k, what is the risk if the concentration is 0.014?
(c) Using the same value of k, what concentration of alcohol corresponds to a risk of 100%?
(d) If the law asserts that anyone with a risk of having an accident of 12 or more should not have driving privileges,
at what concentration of alcohol in the blood should a driver be arrested and charged with a DUI?

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Definitions:

Determinist

A person who holds that everything that happens is completely determined (or caused) by prior conditions and influences.

Free Choice

The ability or discretion to choose freely among different options without being limited or compelled.

What You Value

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Construct an Argument

The process of creating a structured and logical series of statements aimed at demonstrating the truth of a specific position or idea.