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

Responses

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=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=3,000x+3
, 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 relationship between the number of months \( x \) and the total amount of money \( y \) in Oliwia's bank account, we need to take into account her initial deposit and the interest earned each month.

1. Oliwia starts with an initial deposit of $3,000.
2. She earns $3 in interest for each month.

Thus, the total amount of money in her account after \( x \) months can be expressed as:

\[ y = 3x + 3000 \]

Where:

• \( y \) is the total amount of money in the account after \( x \) months.
• \( 3x \) represents the total interest earned after \( x \) months (since she earns $3 each month).
• \( 3000 \) is the initial deposit.

So the correct equation is:

\( y = 3x + 3000 \), where \( x \) is the number of months and \( y \) is the total amount of money Oliwia will have in her account.