Question

Fill in the table using this function rule.y=3x-1хy1 3O069

Answer 1

x y

1 2

3 8

6 17

9 26

Step-by-step explanation:

The table of values we have to fill is:

x y

1

3

6

9

And the function we have is:

`y=3x-1`

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

`\begin{gathered} y=3(1)-1 \\ y=3-1 \\ y=2 \end{gathered}`

So we update the table

x y

1 2

3

6

9

Next, we substitute the value x = 3 into the function

`\begin{gathered} y=3(3)-1 \\ y=9-1 \\ y=8 \end{gathered}`

x y

1 2

3 8

6

9

Now the value of x =6

`\begin{gathered} y=3(6)-1 \\ y=18-1 \\ y=17 \end{gathered}`

x y

1 2

3 8

6 17

9

Finally we substitute x =9 into the function

`\begin{gathered} y=3(9)-1 \\ y=27-1 \\ y=26 \end{gathered}`

And the table is:

x y

1 2

3 8

6 17

9 26