To find the correct equation that models the relationship between the number of months (x) and the total amount of money (y) in Oliwia's account, let's break down the information provided.
- Initial Deposit: $3,000
- Monthly Interest: $3 per month
After x months, the interest earned will be \(3 \times x\), and the total amount in the account will be the initial amount plus the interest earned:
\[ y = \text{Initial Deposit} + \text{Interest} \] \[ y = 3000 + 3x \]
Thus, the equation that models the relationship is:
\[ y = 3x + 3000 \]
This matches the statement:
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.
So, the correct answer is:
y = 3x + 3,000.