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:[tex]1000-40x>400[/tex]Step-by-step explanation:Let's call B the balance of Jacob's checking account. Each week he withdraws $40 from his actual balance of $1000, so if x is the number of weeks, the account's balance isB=1000-40xThe balance must be more than $400, which means[tex]1000-40x>400[/tex]That is the inequality to model the situation. If we wanted to know the limit for x, we can solve the inequality. Operating:[tex]1000-400>40x[/tex]600>40X[tex]x<\frac{600}{40}[/tex]Or x<15Which means Jacob can withdraw $40 14 times at most to maintain the minimum balance requirement