Question

Which statement best explains whether the table represents a linear or nonlinear function?

Input
(x) Output
(y)
−2 7
−5 4
−8 1
−11 −2
It is a linear function because there is a constant rate of change in both the input and output values.
It is a nonlinear function because there is a constant rate of change in both the input and output values.
It is a linear function because the input values are decreasing.
It is a nonlinear function because the input values are increasing.

Answer 1

thoughts about this one?

eliminate the last two choices (whether a function is increasing or decreasing has no bearing on whether its linear; only the rate of change matters)

for the function to be linear, for every unit change in the independent variable, the dependent variable must change by some constant amount

looking at the table - x is increasing by 3 each time. what about y? how is y changing, and is it changing by the same amount each time?