To represent Jane's savings towards earning her bicycle, we can start with the amount she already has saved ($50) and add the amount she plans to save each week ($15 per week times the number of weeks, denoted as \( w \)).
The total savings after \( w \) weeks can be represented as:
\[ 50 + 15w \]
This total savings needs to equal the cost of the bicycle ($185). So, the equation we want is:
\[ 50 + 15w = 185 \]
Therefore, the correct response is:
15w + 50 = 185