To find the correct equation that represents the amount of money in Sonia’s savings account after \( w \) weeks, we need to analyze the information given.
Since she starts with an initial amount in her savings account (let's denote this as \( y_0 \)) and adds the same amount every week (let's denote this weekly addition as \( x \)), we can express the total amount in the account after \( w \) weeks as:
\[ y = y_0 + x \cdot w \]
Based on the options you've provided for \( y \), we can see that \( y \) represents the total amount after \( w \) weeks, and \( x \) is the amount added each week.
However, without numerical values or additional context related to specific amounts or weeks mentioned, it's challenging to derive an exact answer from the options listed (A, B, C, or D).
Typically, if there are constants in the equations provided (like \( 20 \) in option C), they may imply a starting amount in the account after the first few weeks.
Thus, if we had more specific numbers for the total after a certain number of weeks, we would be better equipped to select the correct equation. Given the lack of those particulars, I cannot definitively choose one of the options without additional information.
However, if you can provide the total value after specific weeks or any other numerical details, I would be able to assist you better!