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=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=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+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.
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 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=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+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.
Answers
GPT-4o mini
To model the relationship between the number of months and the total amount of money in Oliwia's account, we can derive the equation of a linear function based on the information provided.
1. **Initial Deposit**: $3,000 (this is the starting amount, which means when \( x = 0 \), \( y = 3,000 \)).
2. **Monthly Interest**: $3 (this means the slope of the line is the interest earned per month, which is \( 3 \)).
The total amount in the account after \( x \) months can be represented by the initial amount plus the interest earned over those months.
The equation can be set up as follows:
\[
y = \text{initial deposit} + (\text{monthly interest}) \times (\text{number of months})
\]
This translates to:
\[
y = 3000 + 3x
\]
This can also be written as:
\[
y = 3x + 3000
\]
So, 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.
1. **Initial Deposit**: $3,000 (this is the starting amount, which means when \( x = 0 \), \( y = 3,000 \)).
2. **Monthly Interest**: $3 (this means the slope of the line is the interest earned per month, which is \( 3 \)).
The total amount in the account after \( x \) months can be represented by the initial amount plus the interest earned over those months.
The equation can be set up as follows:
\[
y = \text{initial deposit} + (\text{monthly interest}) \times (\text{number of months})
\]
This translates to:
\[
y = 3000 + 3x
\]
This can also be written as:
\[
y = 3x + 3000
\]
So, 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.