To represent Nina's savings towards earning her new phone, we need to account for the initial amount she received for her birthday ($100) and how much she plans to save each week ($50 per week) until she reaches the total cost of the phone ($499).
The equation that represents this situation is:
\[ 50w + 100 = 499 \]
where \( w \) is the number of weeks Nina saves $50.
Therefore, the correct response is:
50w + 100 = 499
50 w plus 100 is equal to 499