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:

Social Information Processing Theory

A theory that suggests individuals adapt their attitudes and behaviors based on the social cues and information they receive from others, particularly in online environments.

Information Dependent

The state of requiring or heavily relying on information to make decisions or carry out tasks.

Anticipatory Socialization

The process of learning and adapting to the norms and expectations of a role or environment before formally entering it.

Encounter

An unexpected or casual meeting with someone or something.