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.
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=
3 answers
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.
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.