1. **State the problem:** Jack starts with 450 in his savings account and wants to have at least 100 left after withdrawing 225 each week. 2. **Set up the inequality:** Let $w$ be the number of weeks Jack withdraws money. The amount left after $w$ weeks is given by: $$450 - 225w \geq 100$$ 3. **Solve the inequality:** Subtract 100 from both sides: $$450 - 225w - 100 \geq 0$$ Simplify: $$350 - 225w \geq 0$$ 4. **Isolate $w$:** $$350 \geq 225w$$ Divide both sides by 225 (positive number, inequality direction stays the same): $$\frac{350}{225} \geq w$$ Show cancellation: $$\frac{\cancel{350}}{\cancel{225}} = \frac{14}{9} \geq w$$ 5. **Interpret the result:** Jack can withdraw money for at most $\frac{14}{9}$ weeks. Since $w$ must be a whole number of weeks, Jack can withdraw money for 1 full week. **Final answer:** Jack can withdraw money for 1 week and still have at least 100 left in his account.