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.

1 answer

To find the correct equation that models the relationship between the number of months (x) and the total amount of money (y) in Oliwia's account, let's break down the information provided.

  1. Initial Deposit: $3,000
  2. Monthly Interest: $3 per month

After x months, the interest earned will be \(3 \times x\), and the total amount in the account will be the initial amount plus the interest earned:

\[ y = \text{Initial Deposit} + \text{Interest} \] \[ y = 3000 + 3x \]

Thus, the equation that models the relationship is:

\[ y = 3x + 3000 \]

This matches the statement:

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.

So, the correct answer is:

y = 3x + 3,000.