Subjects algebra

Weekly Savings 33D2Ed

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1. **State the problem:** Megan wants to buy a cell phone costing 220. She has saved 175 so far and wants to buy it in 4 weeks. 2. **Define variables:** Let $x$ be the amount Megan needs to save each week. 3. **Write the inequality:** Total saved after 4 weeks must be at least 220: $$175 + 4x \geq 220$$ 4. **Solve the inequality:** Subtract 175 from both sides: $$\cancel{175} + 4x - \cancel{175} \geq 220 - 175$$ $$4x \geq 45$$ Divide both sides by 4: $$\frac{\cancel{4}x}{\cancel{4}} \geq \frac{45}{4}$$ $$x \geq 11.25$$ 5. **Interpretation:** Megan needs to save at least 11.25 each week to afford the phone in 4 weeks.