Question

For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 32 24 16 8 8 6 A. yes; y = 0.5x B. yes; y = 2x C. yes; y = 1.5x D. no; y does not vary directly with x.

Answer 1

Direct variation is modeled by an equation of y = kx.
If all the pairs of values in the table give us a constant proportion, then that's a direct variation.

As we can see, 8/32 = 1/4 ≠ 8/24 = 1/3. So that's not a direct variation.

The answer choice is D.