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Answer :
Sure, let's break down the problem step-by-step.
### Step 1: Understand the Initial Conditions
- We assume that the initial blood alcohol content (BAC) was at some starting value. For this example, we can assume that the initial BAC value is 0.08% (which is a common legal limit in many places).
### Step 2: Understand the Elimination Rate
- The body eliminates alcohol at a rate of 11 grams per hour. However, BAC reduction is usually expressed as a percentage per hour, and a typical reduction rate is 0.015% per hour.
### Step 3: Calculate the BAC Reduction
- We need to determine how much the BAC decreases over 3 hours. Given the typical reduction rate of 0.015% per hour, the total reduction over 3 hours is:
[tex]\[
\text{Total BAC reduction} = 3 \text{ hours} \times 0.015\%/\text{hour} = 0.045\%
\][/tex]
### Step 4: Calculate the BAC After 3 Hours
- Subtract the total reduction from the initial BAC:
[tex]\[
\text{BAC after 3 hours} = 0.08\% - 0.045\% = 0.035\%
\][/tex]
### Step 5: Determine Driving Safety
- We compare the BAC after 3 hours to the legal limit. If the BAC is above 0.08%, it is not safe to drive. If it is below 0.08%, we must then check if it's still too high to drive safely.
### Conclusion
- The BAC after 3 hours is 0.035%, which is lower than it was initially (0.08%) and also below the legal limit of 0.08%. Therefore, based on this analysis, it would be safe to drive in terms of BAC being below the legal limit, but always consider other factors like how the individual feels as alcohol can still impair driving abilities even below the legal BAC limit.
However, the correct answer to the question:
```
Is it safe for her to drive at this time? Explain.
```
Would be:
```
B. It is safe to drive. Her blood alcohol content is lower than it was three hours ago.
```
The BAC after 3 hours is 0.035%, which satisfies these conditions.
### Step 1: Understand the Initial Conditions
- We assume that the initial blood alcohol content (BAC) was at some starting value. For this example, we can assume that the initial BAC value is 0.08% (which is a common legal limit in many places).
### Step 2: Understand the Elimination Rate
- The body eliminates alcohol at a rate of 11 grams per hour. However, BAC reduction is usually expressed as a percentage per hour, and a typical reduction rate is 0.015% per hour.
### Step 3: Calculate the BAC Reduction
- We need to determine how much the BAC decreases over 3 hours. Given the typical reduction rate of 0.015% per hour, the total reduction over 3 hours is:
[tex]\[
\text{Total BAC reduction} = 3 \text{ hours} \times 0.015\%/\text{hour} = 0.045\%
\][/tex]
### Step 4: Calculate the BAC After 3 Hours
- Subtract the total reduction from the initial BAC:
[tex]\[
\text{BAC after 3 hours} = 0.08\% - 0.045\% = 0.035\%
\][/tex]
### Step 5: Determine Driving Safety
- We compare the BAC after 3 hours to the legal limit. If the BAC is above 0.08%, it is not safe to drive. If it is below 0.08%, we must then check if it's still too high to drive safely.
### Conclusion
- The BAC after 3 hours is 0.035%, which is lower than it was initially (0.08%) and also below the legal limit of 0.08%. Therefore, based on this analysis, it would be safe to drive in terms of BAC being below the legal limit, but always consider other factors like how the individual feels as alcohol can still impair driving abilities even below the legal BAC limit.
However, the correct answer to the question:
```
Is it safe for her to drive at this time? Explain.
```
Would be:
```
B. It is safe to drive. Her blood alcohol content is lower than it was three hours ago.
```
The BAC after 3 hours is 0.035%, which satisfies these conditions.
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