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Chapter 4: Problem 124

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?

Short Answer

Expert verified
The current cutoff for risk at a 17 percent level seems high considering the possible fatal consequences of a car accident. Based on a safety perspective, one could argue that this cutoff should be lowered. If advocating for a 10 percent risk level and assuming a linear relationship, this would correspond to a blood alcohol concentration of approximately 0.047.

Step by step solution

01

Understanding the current regulation

The given information states that in many states, if a driver has a blood alcohol concentration of 0.08, which corresponds to a 17 percent risk of having an accident, they can be charged with driving under the influence.
02

Forming an opinion on the regulation

In this step, you need to form an opinion on whether you agree with the 17 percent risk as a cutoff. You need to think about whether you believe this is too high (implying that the limit should be stricter) or whether you think it's too low (meaning the laws are too strict). For example, you might believe that the risk of having an accident should be lowered to 10 percent, which could be seen as more reasonable since it ensures a better chance of safety on the road.
03

Correlating blood alcohol concentration with risk percentage

Now that you've decided on a suitable risk percentage, you need to determine the corresponding blood alcohol concentration. Assuming there's a linear relationship between the risk percentage and blood alcohol concentration, you can use a simple mathematical rule of three to establish the correspondent blood alcohol concentration for your desired risk percentage. If 17 percent risk is correlated with a blood alcohol concentration of 0.08, then a 10 percent risk would be correlated with a blood alcohol concentration of approximately 0.047.

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