
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
A city's taxi charges in the following manner: a base fare of 6 yuan for up to 3km (including 3km), from 3km to 7km, the fare increases by 1 yuan for each kilometer traveled (less than 1km is counted as 1km), and beyond 7km, the fare increases by 0.8 yuan for each kilometer traveled. If a person travels 8.2km by taxi, how much should they pay?

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