Question

B) is there a constant change?c) if yes what is the constant change

Answer 1

Answer: We have to complete the table using the equation that has been provided to us:

`y(x)=3x-7\rightarrow(1)`

(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:

`\begin{gathered} y(x)=mx+b\Rightarrow y(x)=3x-7 \\ \\ m=\text{ Slope }=(\Delta y)/(\Delta x)=(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}`

The answer is 3.