To model the relationship between the number of months and the total amount of money in Oliwia's account, we can derive the equation of a linear function based on the information provided.
- Initial Deposit: $3,000 (this is the starting amount, which means when \( x = 0 \), \( y = 3,000 \)).
- Monthly Interest: $3 (this means the slope of the line is the interest earned per month, which is \( 3 \)).
The total amount in the account after \( x \) months can be represented by the initial amount plus the interest earned over those months.
The equation can be set up as follows:
\[ y = \text{initial deposit} + (\text{monthly interest}) \times (\text{number of months}) \]
This translates to:
\[ y = 3000 + 3x \]
This can also be written as:
\[ y = 3x + 3000 \]
So, 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.
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