Linear vs Nonlinear Practice

Evelyn is trying to determine if the equation she found in her math book represents a linear or nonlinear function. Can you help her?

• linear

• nonlinear

• Linear

• Nonlinear

Scarlett is trying to determine if the relationship between the distance she walks and the time it takes her is linear or nonlinear. What can she conclude?

• Linear because the graph of distance versus time is a straight line.

• Linear because the graph of distance versus time is NOT a straight line.

• Nonlinear because the graph of distance versus time is a straight line.

• Nonlinear because the graph of distance versus time is NOT a straight line.

Ethan is trying to determine why the graph of a certain function is nonlinear. What could be the reason?

• The function is nonlinear because it represents a vertical line.

• The function is nonlinear because it represents a straight line.

• The function is nonlinear because it represents a graph that goes up and down.

• The function is nonlinear because it represents a curved graph.

Luna is trying to determine if the relationship between the number of hours she studies and her test scores is linear or nonlinear. What type of function best describes this relationship?

• Linear function

• Nonlinear function

Why is this function nonlinear?

• This is a nonlinear function because it is on the side.

• This is a nonlinear function because it is a straight line.

• This is a nonlinear function because the line is curved.

• This is a nonlinear function because it is open ended

Which equation represents a linear function?

• y=8x

• x=5

• y=4x²

• y=x³

Is this function linear or nonlinear?

• Linear

• Nonlinear

Liam, Jackson, and Zoe are selling bird seed for a school fundraiser. The table they have shows the cost (y) in relation to the number of pounds (x) of bird seed they sell. What is the missing y value that would make this a linear function?

• 2.80

• 1.40

• 4.20

• 3.90

Aiden, Elijah, and Priya are participating in a math competition. They are given a set of coordinates and asked to describe it. Which statement describes this set of coordinates?

• Linear function

• Nonlinear function

• Not a function