Question

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

What is the difference of outputs for any two inputs that are one value apart?

Answer 1

The answer to the question is -25

Answer 2

Answer: The correct option is option second. The difference of outputs for any two inputs that are one value apart is -25.

Step-by-step 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=(f(x_2)-f(x_1))/(x_2-x_1)`

`m=(-5-20)/(-1-(-2)) =(-25)/(1) =-25`.