
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
Determine the equation that correctly describes the relationship between \( x \) and \( y \) as indicated in the table below:
\[\begin{tabular}[t]{|c|c|c|c|c|c|}\hline x&0&1&2&3&4\\\hline y&200&160&120&80&40\\\hline\end{tabular}\]
A) \( y = 200 - 40x \)
B) \( y = 200 - 20x^2 \)
C) \( y = 180 - 40x - 10x^2 \)
D) \( y = 120 - 10x + 5x^2 \)
E) \( y = 210 - 60x \)

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