Question
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=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=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.
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=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.
Answers
GPT-4o mini
To model the total amount of money in Oliwia's bank account over time with a linear function, we should consider the initial deposit and the interest that accumulates over the months.
1. **Initial Deposit:** Oliwia deposits $3,000 initially.
2. **Monthly Interest:** The account earns $3 of interest each month.
Let:
- \( x \) be the number of months,
- \( y \) be the total amount of money in the account after \( x \) months.
The total money in the account after \( x \) months can be modeled with the equation:
\[
y = 3000 + 3x
\]
This indicates that the initial amount (the deposit) is $3,000, and for every month \( x \), $3 is added to the account.
So, the correct choice among the provided options would be:
**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.**
1. **Initial Deposit:** Oliwia deposits $3,000 initially.
2. **Monthly Interest:** The account earns $3 of interest each month.
Let:
- \( x \) be the number of months,
- \( y \) be the total amount of money in the account after \( x \) months.
The total money in the account after \( x \) months can be modeled with the equation:
\[
y = 3000 + 3x
\]
This indicates that the initial amount (the deposit) is $3,000, and for every month \( x \), $3 is added to the account.
So, the correct choice among the provided options would be:
**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.**