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=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.

Answer 1

To model the total amount of money Oliwia will have in her account over time, we need to consider both the initial deposit and the interest earned monthly.

1. Initial Deposit: $3,000
2. Interest Earned Per Month: $3 per month

The function will start at her initial deposit of $3,000 and increase by $3 for each month that passes.

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

The equation can be written as:

\[ y = 3x + 3000 \]

Where:

• \( 3x \) represents the total interest earned after \( x \) months.
• \( 3000 \) is the initial deposit.

Thus, the correct equation 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.