
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 certain residential area uses tiered pricing for water consumption, with the following standards: The first 15 tons of water used per household per month are charged at 3 yuan per ton; water usage between 15 and 25 tons (inclusive) is charged at 4.5 yuan per ton; and any water usage exceeding 25 tons is charged at 6 yuan per ton.
(1) Find the function relating the monthly water bill y (in yuan) to the water consumption x (in tons) for a household.
(2) If household A paid a water bill of 67.5 yuan in a certain month, find their water consumption for that month.

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