
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
The metabolic rate $y$ of an individual is related to its weight $x$ by $y=kx^{\alpha}$, where $k$ and $\alpha$ are positive constants. If the weight of the individual increases to 16 times its initial state, determine the value of $\alpha$ when its metabolic rate increases to 8 times its initial state.

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