I am assuming that this is your equation:
Is this correct?
hello, I have this math question that i am stuck on..it relates to the blood alcohol level..there is 3 parts to this question.
-The probality (in percent) P of having an automoible accident is related to the blood alcohol content of the driver t by the following function P(t) = e 21.459t
1-The "legal" BAC level in Ohio is .08. If someone was driving at that level, what is the probaliity (in percent) that he or she will be in an accient?
2-At what blood alcohol level would one have to be at in order to have a 50% chance of an accident?
3-At what blood alcohol level would one have to be at in order to have a 75% chance of an accident?
1) Simply plug in 0.08 into your equation to get your answer:
2) Set the expression equal to 50 and solve for t:
Take the natural log of both sides:
Using laws of exponents:
Divide both sides by 21.459:
3) Same as question 2, just with different numbers.