Answer :

The given data  is incorrect, k does not constitute a constant, but rather y does not varies directly to x.

What is defined as the direct variation?

  • A simple connection between two variables is described by direct variation.
  • If y=kx, we say it varies significantly with x (or even as x in some textbooks) for some constant k, known as the constant of variation or the constant of proportionality.
  • Because y varies directly with x, it would fit a equation y=kx for each and every point with in set.

We may have 11=7k for the initial point, implying that k=11/7.

Again for second point, we'd have 13=8k, which means k=13/8.

Using proportions, we can see that 11/7 doesn't really equal 13/8: cross multiply and you get 11*8=7*13, or 88=91.

Thus, this is incorrect, k does not constitute a constant, but rather y does not varies directly to x.

To know more about the direct variation, here

https://brainly.com/question/2098610

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The complete question is-

Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

x y

7 11

8 13

9 15

10 17