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=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=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=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.

Question

GPT-4o mini · Answer

To find the equation that models the relationship between the number of months (x) and the total amount of money in the account (y), we can use the following information:

Oliwia starts with a deposit of $3,000.
She earns $3 in interest per month.

The total amount of money in her account after x months will be the initial deposit plus the interest earned over those months. The interest can be represented as $3x$ (since she earns $3 for each month).

Thus, the total amount in the account after x months can be expressed as:

\[ y = 3000 + 3x \]

This can also be written as:

\[ y = 3x + 3000 \]

Based on the options given, the correct equation is:

y = 3x + 3000, where x is the number of months and y is the total amount of money Oliwia will have in her account.