For the data in the​ table, tell whether y varies directly with x. If it​ does, write an equation for the direct variation.

To determine if y varies directly with x, we need to check if the ratios of y to x are constant.

Calculating the ratios:
21/(-12) = -1.75
-1.75/1 = -1.75
-25/16 = -1.5625

Since the ratios are not constant, y does not vary directly with x.

Therefore, there is no equation for direct variation.

no

Apologies for the previous incorrect response.

To determine if y varies directly with x, we need to check if the ratios of y to x are constant.

Calculating the ratios:
21/(-12) = -1.75
-1.75/1 = -1.75
-25/16 = -1.5625

Since the ratios are not the same, y does not vary directly with x.

Therefore, there is no equation for direct variation in this case.