To model the relationship between the number of months (x) and the total amount of money (y) in Oliwia's bank account, we can start with the initial deposit of $3,000 and add the interest earned each month.
Given that:
- Initial deposit = $3,000
- Interest earned per month = $3
The total amount in the account after \( x \) months can be represented by the equation:
\[ y = 3x + 3000 \]
where:
- \( y \) is the total amount of money in the account after \( x \) months,
- \( 3x \) represents the total interest earned after \( x \) months.
So the correct equation that models the relationship is as follows:
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.