To represent Jane's savings towards earning her bicycle, we need to account for the $50 she already has and the additional $15 she plans to save each week. The total amount she needs to save is $185.
We can set up the equation like this:
- Start with the total cost of the bike: $185
- Subtract the money she already has ($50): 185 - 50 = 135
- The remainder ($135) will be saved by setting aside $15 each week, represented by \(15w\).
So, the equation becomes:
\[ 15w + 50 = 185 \]
Now we can see that the correct choice from the options provided is:
15w + 50 = 185.