
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
In a certain city, the public transportation company determines the ticket price based on the following method: if the trip does not exceed 100 km, the ticket price is 0.5 yuan/km; if it exceeds 100 km, the excess over 100 km is priced at 0.4 yuan/km. The functional relationship between the ticket price y (in yuan) and the number of kilometers traveled x (in km) is ________.

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