
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 group of data on the degree $y$ of myopia glasses measured by an optometrist and the focal length $x$ of the lenses is shown in the table below:

| $y$(unit: degrees) | $100$ | $200$ | $400$ | $500$ | $\ldots$ |
|---------------------|-------|-------|-------|-------|----------|
| $x$(unit: meters)   | $1.00$| $0.50$| $0.25$| $0.20$| $\ldots$ |

The functional relationship between $y$ and $x$ is ____.

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