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
y
=
3
,
000
x
+
3
, where x
x
 is the number of months and y
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
y
=
3
x
+
1
,
000
, where x
x
 is the number of months and y
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=1,000x+3
y
=
1
,
000
x
+
3
, where x
x
 is the number of months and y
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
y
=
3
x
+
3
,
000
, where x
x
 is the number of months and y
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.
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GPT-4o mini · Answer

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 consider both the initial deposit and the interest earned over time.

Initial Deposit: Oliwia deposits $3,000. This amount is constant and forms the starting point of her account balance.
Monthly Interest: The account earns $3 in interest for each month.

Putting this together, the total amount of money in the account after x months is given by the sum of the initial deposit and the total interest earned over that period. The interest earned after x months is $3x$ (since it earns $3 per month).

The equation for the total amount of money in the account after x months (y) would then be:

\[ y = 3000 + 3x \]

Rearranging it, we have:

\[ y = 3x + 3000 \]

This means the correct answer 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.