Answer:
x y
1 2
3 8
6 17
9 26
Explanation:
The table of values we have to fill is:
x y
1
3
6
9
And the function we have is:
[tex]y=3x-1[/tex]To fill the table, we need to take each value of x, and substitute it on the function to find y.
Starting with x = 1
[tex]\begin{gathered} y=3(1)-1 \\ y=3-1 \\ y=2 \end{gathered}[/tex]So we update the table
x y
1 2
3
6
9
Next, we substitute the value x = 3 into the function
[tex]\begin{gathered} y=3(3)-1 \\ y=9-1 \\ y=8 \end{gathered}[/tex]x y
1 2
3 8
6
9
Now the value of x =6
[tex]\begin{gathered} y=3(6)-1 \\ y=18-1 \\ y=17 \end{gathered}[/tex]x y
1 2
3 8
6 17
9
Finally we substitute x =9 into the function
[tex]\begin{gathered} y=3(9)-1 \\ y=27-1 \\ y=26 \end{gathered}[/tex]And the table is:
x y
1 2
3 8
6 17
9 26