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=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.

GPT-4o mini · Answer

To model the total amount of money in Oliwia's account over time, we start with her initial deposit and add the interest earned each month.

Initial Deposit: Oliwia starts with $3,000.
Monthly Interest: The account 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 can be expressed as: \[ y = 3,000 + 3x \]

This can be rewritten as: \[ y = 3x + 3,000 \]

Thus, the correct equation of the linear function that models the relationship between the number of months and the total amount of money in Oliwia's account is: \[ y = 3x + 3,000 \]

So the 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.