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

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=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+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 Oliwia will have in her account (y), we start by recognizing that she initially deposits $3,000.

She earns $3 in interest per month, which means that after \( x \) months, she will earn \( 3x \) dollars in interest.

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

\[ y = 3000 + 3x \]

This equation can be rearranged to match the standard linear function format:

\[ y = 3x + 3000 \]

Thus, the correct equation of a linear function that models this situation is:

\[ y = 3x + 3000 \]

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.