Answer:
x and y are not in direct variation.
Step-by-step explanation:
Direct Variation
Two variables x and y have a direct proportion or variation if:
y = k.x
Where k is the factor of proportionality. The value of k must be constant for every ordered pair (x,y). If only one of them does not have the very same k, then the relationship is not direct.
The value of k can be solved from the equation:
[tex]\displastyle k=\frac{y}{x}[/tex]
Let's substitute the given points in the table:
(2,8)
[tex]\displastyle k=\frac{8}{2}=4[/tex]
k = 4
(4,16)
[tex]\displastyle k=\frac{16}{4}=4[/tex]
k = 4
(6,30)
[tex]\displastyle k=\frac{30}{6}=5[/tex]
k = 5
Since the value of k is not constant, then x and y are not in direct variation.
