To represent Nina's savings towards earning her new phone, we need to consider her initial amount and her weekly savings.
Nina starts with $100 from her birthday and plans to save $50 each week. Let \( w \) represent the number of weeks she saves. Therefore, her total savings can be expressed as:
\[ 50w + 100 \]
Since she needs to save a total of $499 for the phone, we set up the equation:
\[ 50w + 100 = 499 \]
So the correct response is:
50w + 100 = 499.