Question

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

x -12 1 16
y 21 -1.75 -25

Write an equation for the direct variation. Select the correct choice and fill in any answer boxes in your choice below.

y=

Answer 1

no

Answer 2

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.

Answer 3

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.