
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
In the formula \( l = l_{0}(1 + \alpha t) \), the letter \( l_{0} \) represents the length of a metal rod at temperature \( t = 0 \), \( t \) represents the temperature, and \( \alpha \) is a constant number (the coefficient of linear expansion). What function of the variable \( t \) is \( l \)? What specific value does the constant \( \alpha \) take?

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