1. **State the problem:** A worker checks 4 cartons of eggs (each with 12 eggs) and finds 8 broken eggs. We want to predict the number of broken eggs in more cartons based on this data. 2. **Find the rate of broken eggs per carton:** $$\text{Broken eggs per carton} = \frac{8}{4} = 2$$ 3. **Use this rate to predict broken eggs in other numbers of cartons:** - For 6 cartons: $$6 \times 2 = 12$$ broken eggs - For 8 cartons: $$8 \times 2 = 16$$ broken eggs - For 10 cartons: $$10 \times 2 = 20$$ broken eggs - For 12 cartons: $$12 \times 2 = 24$$ broken eggs 4. **Calculate the difference in broken eggs compared to 4 cartons (which had 8 broken eggs):** - 6 cartons vs 4 cartons: $$12 - 8 = 4$$ more broken eggs - 8 cartons vs 4 cartons: $$16 - 8 = 8$$ more broken eggs - 10 cartons vs 4 cartons: $$20 - 8 = 12$$ more broken eggs - 12 cartons vs 4 cartons: $$24 - 8 = 16$$ more broken eggs 5. **Match these differences to the options:** - Option A: 6 cartons have 4 more broken eggs than 4 cartons — **True** - Option B: 8 cartons have 12 more broken eggs than 4 cartons — **False** (difference is 8) - Option C: 10 cartons have 8 more broken eggs than 4 cartons — **False** (difference is 12) - Option D: 12 cartons have 4 more broken eggs than 4 cartons — **False** (difference is 16) **Final answer:** Option A is correct.