Comparing Linear Functions

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

• $y=\frac{1}{2}x-5$

• $y=x+6$

• $y=\frac{3}{4}x-9$

• $y=\frac{1}{4}x+8$

• $y=x$

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

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.

Tags

CCSS.HSS.ID.C.7

Which panda is growing faster?

• Mochi
• Kappa
• Po the dragon warrior
• Jack Black

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.C.7

Which panda will weigh more at 5 weeks?

• Mochi
• Kappa
• Po the dragon warrior
• Jack Black

Tags

CCSS.HSA.CED.A.2

CCSS.HSS.ID.A.2

Which function is linear?

• y = 2x + 4
• y = 2x² + 4
• y = 2x(4 − 3x)
• xy = 15

Is function represented by the table linear or nonlinear?

• linear
• nonlinear

A local parking garage charges $5.00 for the first hour plus $1.50 for each additional hour or part of an hour. Write a relation where x represents the hours, and y represents the cost. Is it a function?

• y = 1.50x + 5
  Function
• y = 5x + 1.50
  Function
• y = 1.50x + 5
   Not a Function
• y = 5x + 1.50
  Not a Function

Find the slope of the line. Describe how one variable changes in relation to the other.