Comparing Linear Functions

Janet is planning her sweet sixteen birthday party. She must decide which party coordinator she should use so that she spends the least amount of money possible. Each coordinator charges an initial fee for their services, plus an additional fee depending on the number of guests that attend the party. Each coordinator's rates are shown in the image. Which coordinator charges the greatest fee per guest?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

Function 1 is represented by the table above:

Function 2 is represented by the equation y = 2x – 4.

Which statement is true?

• Function 1 has a greater rate of change than Function 2.

• Function 2 has a greater rate of change than Function 1.

• They have the same rate of change

• Function 1 has a positive rate of change, and Function 2 has a negative rate of change.

Constant rate of change is the same thing as...

• slope

• y-intercept

Alicia and Melissa did jumping jacks. The table shows the number of jumping jacks that Alicia had done in different amounts of time. The graph shows the number of jumping jacks that Melissa had done in different amounts of time. Which choice best describes the difference between the rates at which the girls did jumping jacks?

• Melissa did 6 more jumping jacks per minute than Alicia.

• Alicia did 6 more jumping jacks per minute than Melissa.

• Melissa did 5 more jumping jacks per minute than Alicia.

• Alicia did 5 more jumping jacks per minute than Melissa.

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

The function C = 0.55m + 3.75 models the cost to take an m mile-long taxi ride from Quick Cabs. The table shows the cost to take a cab different distances from Get You There Cabs. Which statement is true about the two cab companies?

• Quick Cabs costs less per mile but has a higher fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile but has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs less per mile and has a lower fixed fee than Get You There Cabs.

• Quick Cabs costs more per mile and has a higher fixed fee than Get You There Cabs.

How much does Company G charge for 30 minutes of air time?

• over $90

• $5

• $10

• $30

On plan X, how many minutes of usage does $10 buy?

• 30

• 5

• 60

• 20

Which company has a greater rate of change?

• Company K

• Company Z

• Neither-they both have the same rate of change

Marion compared the y-intercept of the function, f, shown in the table, to the y-intercept of the function, g, on the graph.

What is the distance between the y-intercepts of f and g?

• 0 units

• 4 units

• 12 units

• 20 units