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.
A. x < 15
B. x > 15
C. x < 18
D. x ≤ 18
To maintain the minimum balance requirement, Jacob needs to have more than $400 in his account. Each week, he withdraws $40 from his account. Therefore, the amount of money Jacob has in his account after x weeks can be represented by the inequality:
$1,000 - 40x > $400
To find the number of weeks Jacob can withdraw $40 and still maintain the minimum balance requirement, we need to solve this inequality for x.
$1,000 - 40x > $400
Subtract $1,000 from both sides:
-40x > $400 - $1,000
-40x > -$600
Divide both sides by -40. Since we are dividing by a negative number, the inequality sign flips:
x < -$600 / -40
x < 15
So, the number of weeks, x, that Jacob can withdraw $40 to maintain the minimum balance requirement is less than 15.
Therefore, the correct answer is A. x < 15.