1. The problem states that 1 batch of cookies requires 3 eggs. 2. We want to find the total number of eggs $n$ needed for $b$ batches. 3. The relationship between eggs and batches is linear because each batch requires the same number of eggs. 4. The formula to represent this is: $$n = 3b$$ where $n$ is the total eggs and $b$ is the number of batches. 5. To find the number of eggs needed for 6 batches, substitute $b = 6$ into the formula: $$n = 3 \times 6 = 18$$ 6. So, 18 eggs are needed to make 6 batches of cookies.