
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 a coordinate plane, point $Q(0,15)$ is fixed at the top of the $y$-axis, and point $O(0,0)$ is the origin. Point $B(15,0)$ lies on the $x$-axis. A point $C(0,p)$ lies on the $y$-axis between $Q(0,15)$ and $O(0,0)$. Determine an expression for the area of $\triangle COB$ in terms of $p$, where $0 \le p \le 15$. Simplify your answer as much as possible.

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