Which statement best explains whether the table represents a linear or nonlinear function? A.) It is a linear function because there is a constant rate of change in both the input and output values.
B.) It is a nonlinear function because there is a constant rate of change in both the input and output values.
C.) It is a linear function because the input values are decreasing.
D.) It is a nonlinear function because the input values are increasing

A.) It is a linear function because there is a constant rate of change in both the input and output values.

Explanation:

Note how x is decreasing by 3 each time

At the same time, y is also decreasing by 3 each time

This means we have a linear function. We have,

slope = (change in y)/(change in x)

slope = (-3)/(-3)

slope = 1

Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.

Another way to find the slope is to pick any two points from the table and use the slope formula

m = (y2 - y1)/(x2 - x1)

You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.

incomplete question. how do you expect anyone to you when you do not post the question in its entirety?