To represent Jane's savings towards earning her bicycle, we start with her initial savings of $50 and then add $15 for each week she saves, denoted by \( w \). The total amount saved needs to equal the cost of the bicycle, which is $185.
The correct equation would be:
\[ 15w + 50 = 185 \]
So the response is:
15w + 50 = 185 (15 w plus 50 is equal to 185)