A local bank recommends opening a savings account with a $100 initial deposit and a $15 monthly deposit. A local credit union recommends opening a savings account with a $50 initial deposit and a $20 monthly deposit. A system of equations is written to find the month at which the two accounts have the same balance. If x represents the number of months after the initial deposit and y represents the account balance in dollars, the equation for the credit union account balance is y = 20x + 50. What is the equation for the bank account balance?(1 point)

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1 answer

To find the equation for the bank account balance at the local bank, we start with the initial deposit and the monthly deposit.

  1. The bank has a $100 initial deposit.
  2. The bank also has a monthly deposit of $15.

We can express the account balance \( y \) after \( x \) months using the following equation:

\[ y = 15x + 100 \]

So, the equation for the bank account balance is:

\[ y = 15x + 100 \]