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+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.
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+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 he

Answer 1

To model the total amount of money Oliwia will have in her account after a certain number of months, we need to consider her initial deposit and the interest she earns each month.

Oliwia deposits $3,000 initially, so that will be our starting amount (the y-intercept). Every month, she earns $3 in interest. Therefore, the amount of interest earned after \( x \) months is \( 3x \).

Using this information, we can write the equation as:

\[ y = 3x + 3000 \]

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

So, the correct response 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.