recipe ingredients remain in a constant ratio no matter how many servings are prepared. which table shows a…

Explanation:

Step1: Calculate the ratio for the first table

For the first table, when (x = 1,y = 2), the ratio (\frac{y}{x}=\frac{2}{1} = 2); when (x = 2,y = 4), the ratio (\frac{y}{4}=\frac{4}{2}=2); when (x = 3,y = 6), the ratio (\frac{y}{x}=\frac{6}{3}=2).

Step2: Calculate the ratio for the second table

For the second table, when (x = 1,y = 2), the ratio (\frac{y}{x}=\frac{2}{1}=2); when (x = 2,y = 3), the ratio (\frac{y}{x}=\frac{3}{2}=1.5); when (x = 3,y = 4), the ratio (\frac{y}{x}=\frac{4}{3}\approx1.33).

Answer:

The first table shows a possible ratio table for ingredients (X) and (Y) as it has a constant ratio of (2) for all values of (x) and (y), while the second table does not have a constant ratio.