Algebra-1

To determine whether the given data points represent a linear or nonlinear relationship, we can examine the relationship between the input (x) and output (y) values.

 

A linear relationship implies that the output values change at a constant rate as the input values change.

 

Let's calculate the ratios of change in y to change in x for the given data points:

 

Change in y for the first data point: 20 - 10 = 10

Change in x for the first data point: 4 - 2 = 2

Ratio of change in y to change in x for the first data point: 10/2 = 5

 

Change in y for the second data point: 40 - 20 = 20