Concept:
Prepositions such as "since" and "for" are commonly used with the present perfect continuous tense. "Since" is used for a specific point in time, while "for" is used for a duration.
Step 1: Understand the tense.
The sentence is in present perfect continuous tense: "has been living".
Step 2: Identify the time expression.
"2010" is a specific point in time.
Step 3: Choose the correct preposition.
Since we refer to a specific starting point, we use "since".