For the data in the table, does y vary directly with x? If it does, write an equation for the direct
variation.
x y
4 28
6 48
8 72
(1 point)
yes; y = 2x
yes; y = 5x
yes; y = 7x
no; y does not vary directly with x
Yes; y = 7x
To determine if y varies directly with x, we need to check if the ratios of the y-values to the x-values remain constant. Let's compare the ratios for the given data:
For the first row: y/x = 28/4 = 7/1
For the second row: y/x = 48/6 = 8/1
For the third row: y/x = 72/8 = 9/1
Since the ratios of y/x are not constant, we can conclude that y does not vary directly with x. Hence, the correct answer is: no; y does not vary directly with x.