Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible ratio table for ingredients X and Y for the given number of servings?

Question

A 3-column table with 3 rows. Column 1 is labeled Servings 1, 2, 3. Column 2 is labeled x with entries 1, 2, 3. Column 3 is labeled Y with entries 2, 3, 4.
A 3-column table with 3 rows. Column 1 is labeled Servings 1, 2, 3. Column 2 is labeled x with entries 1, 2, 3. Column 3 is labeled Y with entries 2, 4, 8.
A 3-column table with 3 rows. Column 1 is labeled Servings 1, 2, 3. Column 2 is labeled x with entries 1, 2, 3. Column 3 is labeled Y with entries 2, 3, 5.
A 3-column table with 3 rows. Column 1 is labeled Servings 1, 2, 3. Column 2 is labeled x with entries 1, 2, 3. Column 3 is labeled Y with entries 2, 4, 6.

Answer 1

To determine which table shows a possible ratio for ingredients X and Y for the given number of servings, we need to look for a constant ratio between X and Y across all servings.

1. First Table:

   • Servings: 1, 2, 3
   • X: 1, 2, 3
   • Y: 2, 3, 4
   • Ratios: 1:2, 2:3, 3:4 (not constant)

2. Second Table:

   • Servings: 1, 2, 3
   • X: 1, 2, 3
   • Y: 2, 4, 8
   • Ratios: 1:2, 2:4, 3:8 (not constant)

3. Third Table:

   • Servings: 1, 2, 3
   • X: 1, 2, 3
   • Y: 2, 3, 5
   • Ratios: 1:2, 2:3, 3:5 (not constant)

4. Fourth Table:

   • Servings: 1, 2, 3
   • X: 1, 2, 3
   • Y: 2, 4, 6
   • Ratios: 1:2, 2:4, 3:6 (all are consistent, the ratio is 1:2)

The fourth table maintains a constant ratio of 1:2 for the ingredients X and Y, making it the correct choice.

Correct Answer: Fourth Table.