
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 store sells teapots for 20 yuan each and teacups for 5 yuan each. The store has two discount methods: (1) buy a teapot and get a teacup for free; (2) pay 92% of the total price. A customer wants to buy 4 teapots and $x$ teacups ($x \geq 4$), with a payment amount of $y$ (yuan). Please write down the relationship between $y$ and $x$ for both discount methods, and determine which method saves more money when the customer buys the same number of teacups.

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