To model the total amount of money in Oliwia's bank account over time, we start with her initial deposit of $3,000 and account for the interest earned over the months.
We know that the account earns $3 in interest per month. Therefore:
- The initial amount in the account is $3,000.
- For each month \( x \), she earns an additional $3 in interest.
The equation can be written as follows:
\[ y = 3,000 + 3x \]
This equation means that for \( x \) months, the total amount \( y \) in the account is the initial deposit ($3,000) plus $3 for each month.
To match this with one of the options provided, we rewrite it in the format of the choices given:
\[ y = 3x + 3,000 \]
Thus, the correct answer is:
y = 3x + 3,000, where x is the number of months and y is the total amount of money Oliwia will have in her account.