Question

Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. Write an inequality to model the number of weeks, x, that he can withdraw $40 to maintain the minimum balance requirement.

Answer 1

The minimum balance requirement is that the account balance must be greater than $400. Every week, Jacob withdraws $40 from his account. So, the account balance will decrease by $40 each week.

Therefore, the inequality to model the number of weeks, x, that Jacob can withdraw $40 to maintain the minimum balance requirement is:

1000 - 40x > 400