Problem 124 - College Algebra

Question

In many states, a \(17 \%\) risk of a car accident with a blood alcohol concentration of 0.08 is the lowest level for charging a motorist with driving under the influence. Do you agree with the \(17 \%\) risk as a cutoff percentage, or do you feel that the percentage should be lower or higher? Explain your answer. What blood alcohol concentration corresponds to what you believe is an appropriate percentage?

Step-by-Step Solution

Answer

This exercise is subjective and would depend on personal opinions and understanding of the situation. Therefore, no specific answer can be given without these inputs.

Step 1: Understanding the 17% risk

A 17% risk means that if 100 people all had a blood alcohol concentration of 0.08, approximately 17 of them would be involved in a car accident. In other words, for nearly 1 in every 5 drivers with a blood alcohol concentration of 0.08, there is a risk of accident.

Step 2: Formulating an opinion

Based on this analysis, decide if the 17% risk threshold is acceptable. This will depend on your own personal values, risk tolerance, and understanding of the dangers of drink-driving. You might feel that any risk is too high when lives are potentially at stake, so you would advocate for a lower threshold. Alternatively, you may believe that it is impossible to eliminate all risk and that 17% is a reasonable compromise between complete safety and personal freedom.

Step 3: Corresponding blood alcohol concentration

Once you've decided whether the 17% risk threshold should be higher, lower, or stay the same, think about what this would mean in terms of blood alcohol concentration. For example, if you feel the risk should be lower, say 10%, you would want the blood alcohol concentration that corresponds to a 10% risk of a car accident to be the new limit for drink-driving. Finding the exact blood alcohol concentration that corresponds to a specific percentage risk would involve detailed medical and statistical research.