To represent Jane’s savings towards earning her bicycle, we need to account for the initial amount she already has and the amount she plans to save each week.
Jane has $50 from her birthday, and she plans to save $15 per week for \( w \) weeks until she reaches the total cost of the bicycle, which is $185.
The equation that represents her savings is:
\[ 15w + 50 = 185 \]
This matches the second option:
15w + 50 = 185
15 w plus 50 is equal to 185.