Final answer:
Cindy's saving plan can be represented by the algebraic expression S = 20 + 12w, where S is her total savings and w is the number of weeks she saves.
Step-by-step explanation:
Expressing Cindy's Saving Plan
To express Cindy's saving plan in the form of an algebraic expression, we start by observing the details given: Cindy has already saved $20 and plans to save $12 each week. We will use w as the variable representing the number of weeks Cindy saves money.
The total amount of money Cindy will have saved after w weeks can be determined by starting with her initial savings and then adding the amount she plans to save each week, multiplied by the number of weeks.
Therefore, the expression to represent Cindy's saving plan is:
S = 20 + 12w
Where S represents the total savings and w is the number of weeks of saving.