Question

HELP FAST PLEASE!!!!

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

x y

−2, negative 19 over 3

−1, −3

0, 1 over 3

1, 11 over 3

2, 7

The table represents a linear function because the rate of change is constant.

The table represents a linear function because the rate of change is not constant.

The table represents a nonlinear function because the rate of change is constant.

The table represents a nonlinear function because the rate of change is not constant.

Answer 1

• A) The table represents a linear function because the rate of change is constant.

-----------------------------

We can see the x-values of table have a constant change of 1.

Let's show the y-values as series and see if the difference of terms is constant:

• - 19/3, - 3, 1/3, 11/3, 7

Show all as fractions of 3:

• - 19/3, - 9/3, 1/3, 11/3, 21/3

Ignoring the denominators, we can see the numerators increase by 10:

• 21 - 11 = 11 - 1 = 1 - (-9) = - 9 - (-19) = 10

This is a common rate of change and hence it is a linear function.

Correct choice is A.