Urgent! Answer to question C in 2004 Mathematical Modeling Competition!

The topic is as follows:

According to reports, in 2003, the number of road traffic accident deaths in China was 104372 million, of which drunk driving accounted for a considerable proportion. In view of this severe road traffic situation, the General Administration of Quality Supervision, Inspection and Quarantine issued a new national standard "Threshold and Test of Blood and Respiratory Alcohol Content of Vehicle Drivers" on May 3, 2004. The new standard stipulates that drivers whose blood alcohol content is greater than or equal to 20mg/ 100ml and less than 80mg/ 100ml are drunk drivers (the original standard is less than 100mg/ 100ml), and their blood alcohol content is greater than or equal to 80mg/ 100ml.

Li Li drank a bottle of beer at noon 12, and met the new driving standard at 6 pm. Then he drank another bottle of beer at dinner. To be on the safe side, he didn't drive home until 2 am. When he was checked again, he was classified as drunk driving, which made him angry and confused. Why did he drink the same amount of wine, but the results of the two tests were different?

Please refer to the data given below (or collect data yourself) to establish a mathematical model of alcohol content in blood after drinking, and discuss the following issues:

1. Explain what happened to Da Li;

2. How long will it take to drive after drinking three bottles of beer or half a catty of low-alcohol liquor? Answer in the following situations:

1) Drink the wine in a short time;

2) Wine is drunk for a long time (for example, 2 hours).

3. How to estimate when the blood alcohol content is the highest?

According to your model, can you still drive after drinking every day?

5. Write a short article according to your car model and the new national standard, and give a suggestion to the driver who wants to drink some wine.

reference data

1. Body fluids account for 65% to 70% of human body weight, of which blood only accounts for about 7% of human body weight; The content of drugs (including alcohol) in blood is roughly the same as that in body fluids.

2. After drinking two bottles of beer in a short period of time, people weighing about 70kg measure their blood alcohol content (mg/ 100ml) at regular intervals. The data are as follows:

Time (hours) Alcohol content

0.25 30

0.5 68

0.75 75

1 82

1.5 82

2 77

2.5 68

3 68

3.5 58

4 5 1

4.5 50