To find out how many vinyl records were sold in 2016, we start with the number of records sold in 2012, which was 50,000. The sales of records increase by a factor of 1.1 each year.
Let's calculate the number of records sold for each year from 2013 to 2016.
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2013: \[ \text{Records sold} = 50,000 \times 1.1 = 55,000 \]
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2014: \[ \text{Records sold} = 55,000 \times 1.1 = 60,500 \]
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2015: \[ \text{Records sold} = 60,500 \times 1.1 = 66,550 \]
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2016: \[ \text{Records sold} = 66,550 \times 1.1 = 73,205 \]
Thus, the number of vinyl records sold in 2016 is 73,205 records.
The answer is: C. 73,205 records.