Answer:A proportional relationship is there.Step-by-step explanation:Here in the table, the values of y are given corresponding to the values of x.
There are four sets of values of x and y.
We have to check whether the relationship is proportional or not.
Now, rate of change of y with respect to x will be from the first two pair of values is = [tex]\frac{3.5 - (-1)}{-2 - (-8)} =0.75[/tex]
Again, rate of change of y with respect to x will be from the second two pair of values is = [tex]\frac{12.5 - 3.5}{10 - (-2)} =0.75[/tex]
And, rate of change of y with respect to x will be from the third two pair of values is = [tex]\frac{20-12.5}{20 - 10} =0.75[/tex]
So, the rate is always 0.75.
Therefore, a proportional relationship is there. (Answer)