1. **Stating the problem:** Lisa’s Quick Stop sells milk at a price 2% below the main grocery store. We are given Lisa’s prices for 8 weeks and want to find the corresponding main grocery store prices.
2. **Understanding the relationship:** If Lisa’s price is 2% less than the main store price, then Lisa’s price is 98% (100% - 2%) of the main store price.
3. **Expressing mathematically:** Let $P_m$ be the main store price and $P_l$ be Lisa’s price. Then:
$$P_l = 0.98 \times P_m$$
4. **Finding main store price:** Rearranging for $P_m$:
$$P_m = \frac{P_l}{0.98}$$
5. **Calculating main store prices for each week:**
- Week 1: $\frac{2.30}{0.98} = 2.3469$ (approx)
- Week 2: $\frac{2.42}{0.98} = 2.4694$
- Week 3: $\frac{2.36}{0.98} = 2.4082$
- Week 4: $\frac{2.49}{0.98} = 2.5408$
- Week 5: $\frac{2.24}{0.98} = 2.2857$
- Week 6: $\frac{2.36}{0.98} = 2.4082$
- Week 7: $\frac{2.42}{0.98} = 2.4694$
- Week 8: $\frac{2.49}{0.98} = 2.5408$
6. **Final answer:** The main grocery store prices for the 8 weeks are approximately:
$$[2.35, 2.47, 2.41, 2.54, 2.29, 2.41, 2.47, 2.54]$$
These prices are rounded to two decimal places for clarity.
Milk Price
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