Answer: The correct option is option second. The difference of outputs for any two inputs that are one value apart is -25.
Explanation:
The given table shows the input and output values for a linear function f(x).
The first column x represents the inputs and f(x) represent the outputs. Since f(x) is a linear function, so the value of output change in a constant rate.
The inputs increased by 1 unit for each row.
The output decrease by,
[tex]-5-20=-25[/tex]
So the change in f(x) is -25.
To find the difference of outputs for any two inputs that are one value apart,
[tex]m=\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
[tex]m=\frac{-5-20}{-1-(-2)} =\frac{-25}{1} =-25[/tex].
