
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 48 liters of fuel in its tank. It consumes 0.6 liters of fuel for every 1 kilometer it travels. Let $y$ (in liters) represent the remaining fuel and $x$ (in kilometers) represent the distance traveled.

(1) Write the relationship between $y$ and $x$;

(2) How many liters of fuel remain after the car has traveled 35 kilometers?

(3) What is the maximum distance the car can travel without refueling?

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