Question Oliwia is opening a bank account. She learns that there is a special promotion where if she deposits $3,000 and then makes no additional deposits or withdrawals, her account will earn $3 in interest per month. Write the equation of a linear function that models the relationship between number of months and total amount of money Oliwia will have in her account.(1 point) Responses y=3,000x+3 , where x is the number of months and y is the total amount of money Oliwia will have in her account. y equals 3,000 x plus 3 , where x is the number of months and y is the total amount of money Oliwia will have in her account. y=1,000x+3 , where x is the number of months and y is the total amount of money Oliwia will have in her account. y equals 1,000 x plus 3 , where x is the number of months and y is the total amount of money Oliwia will have in her account. 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. y equals 3 x plus 3,000 , where x is the number of months and y is the total amount of money Oliwia will have in her account. y=3x+1,000 , where x is the number of months and y is the total amount of money Oliwia will have in her account.

Answer 1

To model the total amount of money Oliwia has in her account as a linear function of the number of months, we can start with the initial deposit and add the interest earned each month.

1. Oliwia deposits $3,000 initially.
2. She earns $3 in interest for each month that passes.

Let \( x \) be the number of months, and \( y \) be the total amount of money in the account after \( x \) months.

The total amount in the account can be expressed as:

\[ y = \text{initial deposit} + \text{interest per month} \times \text{number of months} \]

Putting in the values:

\[ y = 3000 + 3x \]

So the correct equation that models this situation is:

\[ y = 3x + 3000 \]

Therefore, 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.