
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
Heshan Park's parking lot is expected to accommodate 1200 vehicle entries of various sizes on the National Day of October 1st. The parking fee is 10 yuan per entry for large vehicles and 5 yuan per entry for small vehicles. Based on this information, solve the following questions:  
(1) Write the function relationship between the parking fee amount $y$ (in yuan) and the number of small vehicle entries $x$ (in entries) on National Day, and specify the range of values for $x$;  
(2) If the number of small vehicles parked on National Day accounts for 65%-85% of the total number of vehicles parked, estimate the range of the parking fee amount for that day.

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