tell whether y varies directly with x. if it does, write and equation for the direct variation.

Question

x= -1, 2, 5, 9
y= -6, 3, 12, 24

Answer 1

To determine if y varies directly with x, we must compare the ratios of corresponding x and y values.

First, let's calculate the ratios:

For x = -1:
-1/(-6) = 1/6

For x = 2:
2/3 = 1/3

For x = 5:
5/12 = 5/12

For x = 9:
9/24 = 3/8

Since the ratios are not all equal for the corresponding x and y values, we can conclude that y does not vary directly with x. Therefore, there is no equation for direct variation in this case.