Subjects algebra

Unit Rate Comparison

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1. **Problem 7: Find the best price per K-cup among the given brands.** We have three brands with the number of K-cups and their prices: - Dunkin: 47 K-cups for 28.67 - Swiss Miss: 22 K-cups for 12.99 - Starbucks: 95 K-cups for 57.10 2. **Formula for unit price:** $$\text{Unit Price} = \frac{\text{Total Price}}{\text{Number of K-cups}}$$ 3. **Calculate unit price for each brand:** - Dunkin: $$\frac{28.67}{47} \approx 0.61$$ - Swiss Miss: $$\frac{12.99}{22} \approx 0.59$$ - Starbucks: $$\frac{57.10}{95} \approx 0.60$$ 4. **Compare the unit prices:** - Dunkin: 0.61 - Swiss Miss: 0.59 - Starbucks: 0.60 Swiss Miss has the lowest price per K-cup at approximately 0.59. --- 5. **Problem 8: Determine which cat does not eat at the same rate as the others.** Given rates (minutes per unit of kibble or similar): - Elite: 0.96 - Chester: 2 - Dexter: 36 - Another value 3 and 0.08 and 24 are given but unclear; we focus on the main three cats. 6. **Compare the rates:** - Elite and Chester have rates close to 1 and 2. - Dexter's rate is 36, which is much higher. 7. **Conclusion:** Dexter does not eat at the same rate as the others because its rate is significantly different. **Final answers:** - Best price per K-cup: Swiss Miss at $0.59 per K-cup (rounded to nearest hundredth). - Cat that does not eat at the same rate: Dexter.