Question

This table shows the input and output values for a linear function f(x).

Answer 1

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,

$-5-20=-25$

So the change in f(x) is -25.

To find the difference of outputs for any two inputs that are one value apart,

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

$m=\frac{-5-20}{-1-(-2)} =\frac{-25}{1} =-25$.

Answer 2

The answer to the question is -25