Question

Jacob has $1,000 in a checking account and withdraws $40 each week. His account requires a minimum balance of more than $400. which inequality models the number of weeks, x, Jacob can withdraw for $40 to maintain the minimum balance required?

Answer 1

Start writing an expression that represents the balance of the account after the withdrawal each week

$1000-40x$

then, complete the inequality taking into account the conditions of leaving a minimum of $400

$1000-40x\ge400$

solve the inequality

$\begin{gathered} -40x\ge400-1000 \\ -40x\ge-600 \\ 600\ge40x \\ \frac{600}{40}\ge x \\ 15\ge x \\ x\leq15 \end{gathered}$