Medical research indicates that the risk of having a car accident increases exponentially as the concentration of alcohol in the blood increases. The risk is modeled by

Question

R=6e^12.77x
Where x is the blood alcohol concentration and R, given as a percent, is the risk of having a car accident. What blood alcohol concentration corresponds to 20% risk of a car accident?

Answer 1

you are solving

6 e^12.77x = 20
e^12.77x = 10/3
ln both sides and use rules of logs

12.77x lne = ln(10/3) , recall that ln e = 1
x = ln(10/3) /12.77
= appr .094