Which equation represents a direct variation? y = 2x y = x + 4 y = 1/2x y = 3/x

We say that y varies directly with x if

Y=kX

k  called the constant of variation

Equation y =2x represent the direct variation .

Step-by-step explanation:

Given : Equations  y = 2x  , y = x + 4  , y = 1/2x  , y = 3/x .

To find  : Which equation represents a direct variation.

Solution : We have given that equations

Direct variation : The statement "y varies directly as x," mean  y and x always have the same ratio: k = .

Where k is constant of variation ,

We can write it as  y = kx  .

We can see that  in equation y = 2x  is the same as the above equation

On comparing k = 2.

Therefore, Equation y =2x represent the direct variation .

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068