
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The punishment standard for drunk driving in 2020: According to Article 133 of the Criminal Law, drunk driving is punishable by detention for one to six months. Driving a motor vehicle after drinking alcohol will result in the temporary suspension of the driver's license for six months, a deduction of 12 points, and a fine of between 1,000 and 2,000 yuan. According to the qualitative determination of blood alcohol content, a level greater than or equal to 0.02 mg/mL and less than or equal to 0.08 mg/mL constitutes drunk driving, while a level greater than 0.08 mg/mL constitutes drunk driving. After consuming a small amount of alcohol, a certain driver's blood alcohol content rose to 0.3 mg/mL; after stopping drinking, the alcohol content in the blood decreases at a rate of 50% per hour. Let $y$ (unit: mg/mL) represent the driver's blood alcohol content $x$ hours after stopping drinking.
- $(1)$ Express $y$ as a function of $x$.
- $(2)$ In order to ensure traffic safety, how many hours should the driver wait after stopping drinking before being able to drive? (Round to the nearest hour)

Present the answer in LaTex format: \boxed{Your answer}
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