Respuesta :

Answer:

  • No

Step-by-step explanation:

Direct variation is a function y = kx.

From the graph we have:

  • x = 0 and y = 0, it gives k could be any value
  • x = 2 and y = 4, it gives k = 2
  • x = 3 and y = 9, it gives k = 3

As we see k is not same for different points of the graph so this is not a function y = kx hence no direct variation.

Answer:

No

Step-by-step explanation:

If there is a direct variation then scale factor(k) is same

[tex]\boxed{\sf k=\dfrac{y}{x}}[/tex]

  • (0,0) Ignore it

Come to second point

  • (2,4)

[tex]\\ \rm\longmapsto k=\dfrac{4}{2}=2[/tex]

For third point

  • (3,9)

[tex]\\ \rm\longmapsto k=\dfrac{9}{3}=3[/tex]

Hence verified