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=
(Use integers or decimals for any numbers in the expression.)
To determine whether y varies directly with x, we need to check if the ratios of the corresponding y-values and x-values are the same.
The ratio of the first pair is y1/x1 = 21/(-12) = -1.75
The ratio of the second pair is y2/x2 = -1.75/1 = -1.75
The ratio of the third pair is y3/x3 = -25/16 ≈ -1.5625
Since the ratios are not constant, we can conclude that y does not vary directly with x.
Therefore, there is no equation for direct variation.