
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
Given that the polar coordinate equation of curve $C$ is $ρ=2$, and the positive semi-axis of the polar axis is taken as the $x$-axis in the rectangular coordinate system with the pole as the origin and the same unit length. The parametric equations of line $l$ are $ \begin{cases} x=2- \frac {1}{2}t \\ y=1+ \frac { \sqrt {3}}{2}t\end{cases}(t\text{ is the parameter}) $.
(I) Write the ordinary equation of line $l$ and the rectangular coordinate equation of curve $C$;
(II) Suppose curve $C$ undergoes an expansion transformation $ \begin{cases} x′=x \\ y′=2y\end{cases} $ to obtain curve $C′$, and any point on curve $C′$ is $M(x_{0},y_{0})$, find the range of $ \sqrt {3}x_{0}+ \frac {1}{2}y_{0}$.

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