Comparing Characteristics of Linear Functions

Function A is represented by the table.

Function B is represented by the equation y = 3x - 4.

Which function has the greatest rate of change (slope)?

• Function A.

• Function B.

• Neither. They have the same slope.

• There is not enough information to answer this question.

Function A is represented by the equation.

y=\frac{2}{3}x+5 

Function B is represented by the graph.

Which function has the greater rate of change?

• Function A

• Function B

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Which function has a greater rate of change than the function that passes through the points given in the table below?

Which functions have a rate of change that is greater than the function shown in the graph? Select ALL that apply.

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 has a greater slope?

• Equation A

• Equation B

• They have the same slope

Which equation has a greater y intercept?

• Equation A

• Equation B

• They have the same Y intercept

Which company charges more per hour?

• Water's Edge Rafts

• Ryan's Rafts

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Function A is represented by the equation.

Function B is represented by the graph.

Which function has the greater rate of change?

• Function A

• Function B

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Function A is represented by the equation y = 4x - 2. Function B is represented by the table.
Which of these functions has the greater rate of change?

• Function A. It's rate of change is -2.

• Function A. It's rate of change is 4.

• Function B. It's rate of change is 2.

• Function B. It's rate of change is 6.