Question

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?
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

A table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4.

What is a proportion?

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented the following equation:

y = kx

Where:

• y and x are the variables.
• k represents the constant of proportionality.

Since the recipe ingredients remain in a constant ratio, we have:

k = y/x

For table 1, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 4/3.

For table 2, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 8/3.

For table 3, we have:

k = 2/1 = 2.

k = 3/2 = 1.5.

k = 5/3.

For table 4, we have:

k = 2/1 = 2.

k = 4/2 = 2.

k = 6/3 = 2.

In conclusion, a table which shows a possible ratio table for ingredients X and Y for the given number of servings is table 4 as shown in the image attached below.

Read more on proportionality here: brainly.com/question/12866878

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