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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=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=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=3x+1,000, 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 1,000 , where x is the number of months and y is the total amount of money Oliwia will have in her account.

1 answer

To model the total amount of money in Oliwia's account over time, we need to establish a function that accounts for her initial deposit and how much interest she earns each month.

  1. Initial Deposit: Oliwia starts with $3,000.
  2. Monthly Interest: She earns $3 in interest each month.

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

The total amount of money in the account can be modeled as:

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

This can be expressed in the function:

\[ y = 3000 + 3x \]

So the correct equation that models the total amount of money in her account 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.

Thus, the correct selection is:

y = 3x + 3,000.