Write the Word or Phrase That Best Completes Each Statement $$\mathrm { R } = 5 \mathrm { e } ^ { \mathrm { kx } }$$

question 450

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 $$\mathrm { R } = 5 \mathrm { e } ^ { \mathrm { kx } }$$ where x is the variable concentration of alcohol in the blood and k is a constant.
Suppose that a concentration of alcohol in the blood of 0.07 results in a 10% risk (R = 10) of an accident. Find the
constant k in the equation.
Using this value of k, what is the risk if the concentration is 0.11?

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Definitions:

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A colorless, odorless, tasteless, gaseous element, that makes up about 78% of the earth's atmosphere and is a vital component of living organisms.

Phosphorous

A highly reactive, non-metallic element essential for life, playing a key role in the formation of DNA, RNA, and ATP, among other biological compounds.

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A species of fresh-water fish (Catostomus commersonii), commonly found in North America, characterized by its elongated body and downturned mouth.