Constant Rate of Change Tables and Graphs

Does this table represent a function?

• Yes 

• No

Which answer choice is true?

• The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.

• The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.

• The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.

• The table does not represent a function because there is more than one output for at least one input.

Which statement is true?

• Both Graphs have multiple y intercepts

• Both graphs are not functions

• The first graph is linear because it has a constant rate of change.

• The second graph is nonlinear but has a constant rate of change.

Find the rate of change

• 1

• 2

• 11

• Not a constant slope/Non-Linear

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

Which equation matches the graph?

• y = 1/3x + 3

• y = 3x

• y = x +3

• y = 3x + 3

Find the constant rate of change.

• 1/2

• -1/2

• 2

• -2

What can you use to represent linear relationships?

• verbal descriptions

• equations

• graphs

• tables

• all of the above

Which of the following equations does NOT match the table?

• y = 25/2x

• y = 2/25x

• y = 12.5x

• y = 12.5x + 0