To model Jane's savings towards purchasing the bicycle, we note the following details:
- The bike costs $185.
- Jane has already saved $50 from her birthday.
- She plans to save an additional $15 per week.
Let \( w \) represent the number of weeks Jane saves.
Her total savings can be represented as the initial $50 plus $15 for each week she saves, which is expressed as \( 15w \).
So, the equation representing Jane's savings would be:
\[ 15w + 50 = 185 \]
Therefore, the correct answer is:
B) 15w + 50 = 185