Payment Plans 8Db28D

1. **State the problem:** Naomi wants to buy a computer costing $840. She has two payment plans and wants to know which plan pays off the computer faster. 2. **Write down the given information:** - Total cost: $840 - Plan A: $180 down payment + $60 per week - Plan B: $0 down payment + $70 per week 3. **Formulas and approach:** We calculate the number of weeks needed to pay off the remaining balance after the down payment for each plan. For Plan A: $$\text{Remaining balance} = 840 - 180 = 660$$ $$\text{Weeks} = \frac{\text{Remaining balance}}{\text{weekly payment}} = \frac{660}{60}$$ For Plan B: $$\text{Remaining balance} = 840 - 0 = 840$$ $$\text{Weeks} = \frac{840}{70}$$ 4. **Calculate Plan A weeks:** $$\frac{660}{60} = \frac{\cancel{660}}{\cancel{60}} = 11$$ 5. **Calculate Plan B weeks:** $$\frac{840}{70} = \frac{\cancel{840}}{\cancel{70}} = 12$$ 6. **Conclusion:** Plan A will pay for the computer in 11 weeks and Plan B will pay for the computer in 12 weeks, so Plan A pays off the computer faster.