Mathematics, 11.10.2020 21:01, bluebunny1231999

Logarithms: A law was established, in which it considers that a driver who has more than 0.8 grams of alcohol per liter of blood, is in a state of drunkenness. It is estimated that the risk that a person has of suffering an accident when driving a vehicle under the influence of alcohol is given by the expression $R(x) = 6 * e^{kx}$ , where R(x) is the risk expressed as probability, X is the concentration of alcohol in the blood and K a constant:

A) Calculate the value of the constant K knowing that the concentration of 0.04 g / L of alcohol in the blood (x = 0.04) corresponds to an accident risk of 10% (R = 10)

B) A person who, according to the Law, drives while intoxicated, that is to say 0.8 g / L in blood, what are the risks of suffering an accident?

C) If a driver is under the influence of alcohol, that is 0.3 g / L, what is the risk of having an accident?

(Develop each one step by step)

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Logarithms: A law was established, in which it considers that a driver who has more than 0.8 grams...