Comparing Rates of Change and Initial Values

Which line is the steepest?

• Line A

• Line B

• Line C

• Line A and C

Match the graphs to their rate of change.

*Hint: pay attention to direction and steepness*

• -7

• 
• 10

• 
• -3

• 
• 3

• 

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

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

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 initial fee?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

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

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. If Janet is planning on inviting 24 guests, which coordinator should she use?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

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. If Janet is planning on inviting 80 guests, which coordinator should she use?

• Coordinator A

• Coordinator B

• Coordinator C

• Coordinator D

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

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

• 0 units

• 4 units

• 12 units

• 20 units