To model the relationship between the number of months (x) and the total amount of money (y) in Oliwia's account, we need to account for her initial deposit and the monthly interest she earns.
- She starts with an initial deposit of $3,000.
- She earns $3 in interest each month.
Thus, after \( x \) months, her total amount of money can be expressed as follows:
\[ y = (\text{initial deposit}) + (\text{interest per month} \times \text{number of months}) \]
Substituting the values we have:
\[ y = 3000 + 3x \]
So, the correct equation of the linear function that models this relationship is:
\[ y = 3x + 3000 \]
Therefore, the correct response 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.