
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 partial information of a resident's electricity bill for a certain month is provided as shown in the table below:

| Item | Value |
|------|-------|
| Type of Invoice | Residential Electricity Bill |
| Billing Period | One month |
| Electricity Usage (kWh) | Price per unit (yuan/kWh) |
| Tier 1: $0\sim 130$ | $0.50$ |
| Tier 2: $130\sim 230 (excess portion)$ | $0.62$ |

Based on the information provided above, answer the following questions:
1. If the monthly electricity usage is denoted by $x$ (unit: kWh) and the amount paid is denoted by $y$ (unit: yuan), write the functional relationship between the amount paid $y$ and the monthly electricity usage $x$ in these two scenarios.
2. If the actual amount paid this month is $108.4$ yuan, calculate the actual electricity usage of this household for one month based on the actual amount paid in the table.

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