Answer:
Option: D is the correct answer.
The k-value is: [tex]\dfrac{-1}{4}[/tex]
Step-by-step explanation:
The table of values of x and y are given as follows:
x y
-4 1
8 -2
12 -3
20 -5
We know that x and y are said to be in proportional with constant of proportionality k if there is a constant k such that:
[tex]y=kx[/tex]
for different ordered pair (x,y)
Here for ordered pair (-4,1) we have:
[tex]1=k\times (-4)\\\\i.e.\\\\k=\dfrac{-1}{4}[/tex]
Similarly for all the other ordered pair we get:
k is a constant and
[tex]k=\dfrac{-1}{4}[/tex]
Hence, the answer is:
Option: D
