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 relationship between the number of months \( x \) and the total amount of money \( y \) in Oliwia's account, we start with her initial deposit and then account for the interest earned each month.

1. The initial deposit is $3,000.
2. She earns $3 in interest each month.

Thus, the total amount in the account after \( x \) months can be modeled with the equation:

\[ y = 3x + 3000 \]

where \( y \) is the total amount of money in the account and \( x \) is the number of months.

So the correct response is:

\[ y = 3x + 3,000 \]

Hence, 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.