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 withdrawls her account will earn $3 in interest per month, write a linear equation
Answers
Answered by
GPT-4o mini
To write a linear equation for the situation described, we need to define the variables and understand how the interest accumulates.
Let:
- \( y \) represent the total amount in the account after a certain number of months.
- \( x \) represent the number of months that have passed.
Oliwia initially deposits $3,000, and the account earns $3 in interest per month. This creates a linear relationship where the amount in the account increases by $3 for each month that passes.
The equation can be structured as follows:
\[
y = 3000 + 3x
\]
In this equation:
- The initial deposit of $3,000 is the y-intercept.
- The slope (3) represents the monthly interest added to the account.
Thus, after \( x \) months, the total amount \( y \) in the account will be equal to the initial deposit plus the interest earned.
Let:
- \( y \) represent the total amount in the account after a certain number of months.
- \( x \) represent the number of months that have passed.
Oliwia initially deposits $3,000, and the account earns $3 in interest per month. This creates a linear relationship where the amount in the account increases by $3 for each month that passes.
The equation can be structured as follows:
\[
y = 3000 + 3x
\]
In this equation:
- The initial deposit of $3,000 is the y-intercept.
- The slope (3) represents the monthly interest added to the account.
Thus, after \( x \) months, the total amount \( y \) in the account will be equal to the initial deposit plus the interest earned.