For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation.

xy
2
10
4 24
6 36
(1 point)
Oyes; y = 2x
yes; y = 5x
yes; y = 7x
no; y does not vary directly with x.

1 answer

To determine if y varies directly with x, we can check if the ratio of y to x is constant for all values in the table. Let's calculate the ratios:

2/2 = 1,
10/4 = 2.5,
24/6 = 4,
36/6 = 6.

Since the ratios are not constant, y does not vary directly with x. Therefore, the correct answer is: no; y does not vary directly with x.