
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 car has 56 liters of oil in the tank. Starting from a certain place, it consumes 0.08 liters of oil for every 1 kilometer traveled. If the remaining oil in the tank is denoted as $y$ (liters) and the distance traveled is denoted as $x$ (kilometers), then $y$ changes with $x$ as follows:
$(1)$ In the above changing process, the independent variable is ______; the dependent variable is ______.
$(2)$ Represent the remaining oil in the tank when the car travels 100 kilometers, 200 kilometers, 300 kilometers, and 400 kilometers using a table. Please complete the table:
| Distance Traveled $x$ (kilometers) | $100$ | $200$ | $300$ | $400$ |
|-----------------------------------|-------|-------|-------|-------|
| Remaining Oil $y$ (liters)         | ______| $40$  | ______| $24$  |

$(3)$ Write down the relationship between $y$ and $x$ as ______.
$(4)$ How many liters of oil are left when the car travels 350 kilometers? How many kilometers has the car traveled when there are 8 liters of oil left?

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