Final answer:
Daniel should transfer at least $87 from his savings account to his checking account to maintain the required minimum balance of $300 and avoid the monthly service fee after writing a check for $325.
Step-by-step explanation:
To determine how much Daniel should transfer from his savings account to his checking account to avoid service fees, we need to establish an inequality. The condition for avoiding the fee is maintaining a minimum balance of $300. If Daniel had $538 in his account and wrote a check for $325, we'll subtract the check amount from his initial balance to see his new balance.
Daniel's new balance = Current balance - Check amount = $538 - $325 = $213
Now, we set up the inequality to find the minimum transfer amount needed to maintain the minimum balance:
Transfer amount + $213 ≥ $300
Solving the inequality gives us:
Transfer amount ≥ $300 - $213
Transfer amount ≥ $87
Therefore, Daniel should transfer at least $87 from his savings account to his checking account to avoid the monthly service fee.