To write the equation for the bank account balance at the local bank, we start with the initial deposit and the monthly deposit.
- The initial deposit is $100.
- The monthly deposit is $15.
Thus, the account balance \(y\) after \(x\) months can be represented as:
\[ y = 15x + 100 \]
So, the equation for the bank account balance is:
\[ y = 15x + 100 \]