
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
"China Petrochemical" launched a promotion. The face value of a gas card is $1000$ yuan, and it is sold at a 10% discount. When using this gas card to refuel, the unit price of oil decreases by $0.30$ yuan per liter. Assuming that the face value of this gas card can be used up all at once.<br/>$(1)$ How much money did he actually spend to buy the gas card?<br/>$(2)$ After the discount, the unit price of oil is $y$ yuan per liter, the original price is $x$ yuan per liter. Find the analytical expression of $y$ in terms of $x$ (do not need to write out the domain).<br/>$(3)$ The original price of oil is $7.30$ yuan per liter. Find how much cheaper the unit price of oil is after the discount compared to the original price.

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