Respuesta :
Answer:
yes, y varies directly with x.
y=4x is an equation of the Direct Variation
Step-by-step explanation:
x y
0 0
1 4
2 8
3 12
From the above data:
we can say that y varies directly with x.
Direct variation states that if y is expressed as the product of some constant number k and x.
i.e y=kx
Now, let any points from above data x= 2 and y= 8 to calculate the value of k,
8=2k
⇒ [tex]k=\frac{8}{2} =4[/tex]
Therefore, the equation for the direct variation is, y=4x