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=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=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=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=3x+3,000
, 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 the monthly interest.

1. Initial deposit: $3,000
2. Interest earned per month: $3

After \( x \) months, the total amount of money in her account can be expressed as:

\[ y = \text{initial deposit} + \text{interest per month} \cdot \text{number of months} \]

Plugging in the numbers, we get:

\[ y = 3000 + 3x \]

Therefore, the equation that models the relationship is:

\[ y = 3x + 3000 \]

This matches the last option provided:

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.