Answer: We have to complete the table using the equation that has been provided to us:
[tex]y(x)=3x-7\rightarrow(1)[/tex]
(a) The table:
Using the equation (1) the rest of the values are filled in the table as follows:
(b) Change type:
Since the graph of the table follows a linear correlation, or as follows:
Therefore there is a constant change in y for every change in x. the answer is yes.
(c) The constant change:
For every linear equation, the constant change is determined by the slope of the line-equation, and according to the equation (1) the slope is as follows:
[tex]\begin{gathered} y(x)=mx+b\Rightarrow y(x)=3x-7 \\ \\ m=\text{ Slope }=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=3 \\ \\ \text{ For every 1 change in x there is 3 change in y} \end{gathered}[/tex]
The answer is 3.
