
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
Elective 4-4: Coordinate System and Parametric Equations  
Given that the polar equation of curve C is $\rho=2$, establish a plane rectangular coordinate system with the pole as the origin and the positive half-axis of the polar axis as the x-axis. The parametric equation of line l is $$\begin{cases} x=2- \frac {1}{2}t \\ y=1+ \frac { \sqrt {3}}{2}t\end{cases}$$ (t is the parameter).  
(I) Write the equations of line l and curve C in the rectangular coordinate system;  
(II) Suppose curve C undergoes a scaling transformation $$\begin{cases} x′=x \\ y′=2y\end{cases}$$ to obtain curve C'. Let any point on curve C' be M(x, y), find the range of values for $$\sqrt {3}x+ \frac {1}{2}y$$.

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