At age six, Nancy knew she wanted to ice skate, at age sixteen, she was competing in the Olympics is the correct punctuate. Thus, option (c) is correct.
What is punctuate?
The term punctuate means to sign and symbol of grammar to used in sentence without punctuation sentence not complete. The one sentence are included in additional information used as punctuation. The sentence meaning is clear as add to punctuation. They construct sentence in writing to add some punctuation.
There are several kinds of punctuation such as exclamation point, commas, bullet point, periods, hyphen, quotation mark, brace, ellipsis, semicolon, parenthesis, and apostrophe. Without punctuation the sentence is  incomplete. At age six used commas (,) and the end of the sentence is add full stop (.).
Therefore, option (c) is correct.
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