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)

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=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.

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

GPT-4o mini · Answer

To model the total amount of money in Oliwia's bank account over time with a linear function, we should consider the initial deposit and the interest that accumulates over the months.

Initial Deposit: Oliwia deposits $3,000 initially.
Monthly Interest: The account earns $3 of interest each month.

Let:

$ x $ be the number of months,
$ y $ be the total amount of money in the account after $ x $ months.

The total money in the account after $ x $ months can be modeled with the equation:

\[ y = 3000 + 3x \]

This indicates that the initial amount (the deposit) is $3,000, and for every month $ x $, $3 is added to the account.

So, the correct choice among the provided options would be:

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.