so the bike costs $129, but she already has $24 saved, then she'll be saving $3 per week so let's take a peek at a table of those savings
week 1..................... total amount......... 24 + 3(1)
week 2..................... total amount......... 24 + 3(2)
week 3..................... total amount......... 24 + 3(3)
week 4..................... total amount......... 24 + 3(4)
week 5..................... total amount......... 24 + 3(5)
week w..................... total amount......... 24 + 3(w)
![\bf \stackrel{\textit{total savings}}{s(x)}=\stackrel{\textit{initial amount}}{24}+\stackrel{\textit{weekly savings}}{3w} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{cost of the bike}}{129}=24+3w\implies 105=3w\implies \cfrac{105}{3}=w\implies 35=w](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9juk5x5rnij79ewog2tkg3iixke63p6wdr.png)