n 2007, a university study was published investigating the crash risk of alcohol impaired driving. Data from 2,871 crashes were used to measure the association of a person’s blood alcohol level (BAC) with the risk of being in an accident. The table below shows results from the study. The relative risk is a measure of how many times more likely a person is to crash. So, for example, a person with a BAC of 0.09 is 3.54 times as likely to crash as a person who has not been drinking alcohol. BAC 0 .01 .03 .05 .07 .09 .11 .13 .15 .17 .19 .21 risk 1 1.03 1.06 1.38 2.09 3.54 6.41 12.6 22.1 39.05 65.32 99.78 a. Find the best fit exponential model for the risk of having an accident based on your BAC. b. Use your model to predict the relative risk of having an accident for a person with a BAC of 0.08 which is the legal limit in GA. c. What BAC would make you 50 times more likely to have an accident than someone who has not been drinking?
In 2007, a university study was published investigating the crash risk of alcohol impaired driving.
Data from 2,871 crashes were used to measure the association of a person’s blood alcohol level (BAC) with the risk of being in an accident. The table below shows results from the study.
The relative risk is a measure of how many times more likely a person is to crash. So, for example, a person with a BAC of 0.09 is 3.54 times as likely to crash as a person who has not been drinking alcohol.
|
BAC |
0 |
.01 |
.03 |
.05 |
.07 |
.09 |
.11 |
.13 |
.15 |
.17 |
.19 |
.21 |
|
risk |
1 |
1.03 |
1.06 |
1.38 |
2.09 |
3.54 |
6.41 |
12.6 |
22.1 |
39.05 |
65.32 |
99.78 |
a. Find the best fit exponential model for the risk of having an accident based on your BAC.
b. Use your model to predict the relative risk of having an accident for a person with a BAC of 0.08 which is the legal limit in GA.
c. What BAC would make you 50 times more likely to have an accident than someone who has not been drinking?
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