Answer:
The table that could represent the function in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form \(y/x=k\) or \(y=kx\)
In this problem
y varies directly with x, and the constant of variation is \(2\)
so
\(k=2\)
The equation of the direct variation is equal to
\(y=2x\)
therefore
For \(x=2\)
Find the value of y
Substitute in the equation the value of x
\(y=2(2)=4\)
For \(x=4\)
Find the value of y
Substitute in the equation the value of x
\(y=2(4)=8\)
For \(x=6\)
Find the value of y
Substitute in the equation the value of x
\(y=2(6)=12\)
For \(x=8\)
Find the value of y
Substitute in the equation the value of x
\(y=2(8)=16\)
The table that could represent the function in the attached figure
