Question

Hi I need help with this question there are two parts the. Next question is on the bottom of the picture

Answer 1

To solve this question let's suppose a linear equation to check if is possible to make the prediction.

For the first table, we get the following equations

`\begin{gathered} 8x+b=3 \\ 16x+b=4 \\ 40x+b=6 \end{gathered}`

Solving by subtracting b, first with equations 1 and 2, and then with equations 2 and 3

`\begin{gathered} 8x=1---->x=(1)/(8) \\ 24x=2---->x=(1)/(12) \end{gathered}`

The x value is not equal so we can predict with this table

For the second table, we get the following equations

`\begin{gathered} 12x+b=2 \\ 36x+b=5 \\ 50x+b=6 \end{gathered}`

Solving by subtracting b, first with equations 1 and 2, and then with equations 2 and 3

`\begin{gathered} 24x=3----\gt x=(1)/(8) \\ 14x=1----\gt x=(1)/(14) \end{gathered}`

The x value is not equal so we can predict with this table

For the third table, we get the following equations

`\begin{gathered} 2x+b=6 \\ 8x+b=24 \\ 12x+b=36 \end{gathered}`

Solving by subtracting b, first with equations 1 and 2, and then with equations 2 and 3