To create a proportional relationship between the number of eggs and cups of milk in the recipe, we can observe the relationship given in the table.
- We know that:
- 2 eggs correspond to 6 cups of milk.
- 3 eggs correspond to an unknown amount of milk.
- An unknown number of eggs corresponds to 12 cups of milk.
Finding the Unknown Values
Step 1: Determine the ratio.
The ratio of milk to eggs can be derived from the known values:
- For 2 eggs and 6 cups of milk: \[ \text{Ratio} = \frac{\text{Milk}}{\text{Eggs}} = \frac{6}{2} = 3 \text{ (which is \( \frac{3}{1} \) when simplified.)} \]
So the ratio of milk to eggs is \( \frac{3}{1} \).
Step 2: Calculate the missing amounts.
For 3 eggs: Using the ratio \( \frac{3}{1} \): \[ \text{Cups of Milk} = 3 \times 3 = 9 \text{ cups} \] So, the table entry will be 9 cups of milk.
For the number of eggs corresponding to 12 cups of milk: Using the same ratio: \[ \text{Eggs} = \frac{12 \text{ cups}}{3} = 4 \text{ eggs} \] So, the table entry will be 4 eggs.
Completing the Table
Now we can complete the table:
| Number of Eggs | Cups of Milk | Ratio Milk to Eggs | |-----------------|--------------|----------------------| | 2 | 6 | \( \frac{3}{1} \) | | 3 | 9 | \( \frac{3}{1} \) | | 4 | 12 | \( \frac{3}{1} \) |
Final Answers
- Number of Eggs: \( 4 \)
- Cups of Milk: \( 9 \)
- Ratio (Milk to Eggs): \( \frac{3}{1} \)
Feel free to ask if you have any further questions!
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