Identify Linear and Non Linear Relationships

Is the function linear or nonlinear?

• Linear Function

• Nonlinear Function

Is the representation linear or non-linear? 

• Linear

• Non-Linear

The relationship in the table is ​ (a)   because each consecutive row shows ​ (b)   .

• linear

• repeated addition

• exponential

• repeated multiplication

Answer explanation

If you look at the y column, you can find the next y-value by adding 40.

Another way to find this pattern is to subtract the y-values by the previous y-value. When you do this subtraction, the result is always 40.

This means the table shows REPEATED ADDITION.

Repeated multiplication indicates LINEAR GROWTH because we can represent y with a linear expression.

Linear or Non-Linear?

• Linear

• Non-Linear

Associations that are in a curved line are called _____

• Linear

• Non-linear

• Curved

• Straight

Linear of Non-linear?

• Linear

• Nonlinear

Jana choses a cell-phone plan that charged $20 per month, plus $0.25 for each text message she sends. Which of the following represents an equation for her total cost where C is the cost (in $) and n is the number of text messages.

• C = 20n+0.25

• C = 20(0.25n)

• C = 0.25n + 20

• C = 25n + 20

Which of the following graphs shows the line y = -3x + 4 ?

• 
• 
• 
• 

A full rain barrel is drained of water at a constant rate. After 6 minutes the draining is stopped. How much water will it take to refill the barrel completely.

• 10 L

• 25 L

• 75 L

• 90 L

What makes a graph proportional?

• Linear

• The line is only in quadrant 1

• Curvy line

• Straight line and the line goes through the origin