Lesson 4-11: Comparing Rate of Change

Jason runs at a pace of 7 miles per hour and Mike runs at a pace represented by the equation y = 6x where y is distance in miles and x is time in hours. Who runs at a faster rate of speed?

​ (a)   runs at a faster rate of speed because ​ (b)   miles per hour is faster than ​ (c)   miles per hour.

• Jason
• 7
• 6
• Mike
• 13
• 42
• 1
• 14

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Compare the rates that each rental store charges per hour.

(a)   has a lower rate because ​ $ (b)   per hour is cheaper than ​$ (c)   per hour.

• Ryan's Rafts
• 2.25
• 6
• Water's Edge Rafts
• 15
• 32.25
• 36
• 30
• 5

Tags

CCSS.8.EE.B.5

Which function has the GREATEST rate of change?

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• 
• 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which linear function has the GREATEST rate of change?

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• 
• 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which linear function has the LEAST rate of change?

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• 

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The cost of Nate’s movie rental service is described by the equation y = 4x + 6. The table shows the cost of Beth’s movie rental service. Whose rental rate is lower?

​ (a)   ​ 's movie rental service cost is cheaper because ​$​ (b)   ​ per movie is less than $​ (c)   per movie.

• 4
• 6
• 10
• 1
• 9
• 15
• 20
• Nate
• 5

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The cost of Melanie’s texting is shown in the table. The cost of Patrick’s monthly texting cost is described by the equation y = 0.3x + 5, where x is the number of texts and y is the cost. Whose texting rates are cheaper?

​ (a)   's texting rates are cheaper because ​$ (b)   per text is less than $​ (c)   per text.

• Melanie
• 0.25
• 0.30
• Patrick
• 1.25
• 0.03
• 0.75
• 0.04
• 0.40
• 0.55

Tags

CCSS.8.EE.B.5

The weight of Brandi's luggage is represented by the equation y = 40x, where y represents the weight in lbs and x represents the number of bags. The weight of Javier's luggage is represented in the graph. Whose luggage weighs more per bag?

​

​​ ​ ​ ​ (a)   's luggage has a greater weight per bag because ​ (b)   lbs per bag is greater than ​ (c)   lbs per bag.

• Brandi
• 40
• 30
• Javier
• 1
• 120
• 4
• 60
• 10

Tags

CCSS.8.EE.B.5

Who has the same rate of change?

​ (a)   have the same rate of change because they are both charged ​ $ (b)   per day, while ​ (c)   has a different rate of $​ (d)   per day.

• Dennis and Myriah
• 78
• Kameron
• 75
• 150
• 37.5
• Dennis
• Myriah
• Dennis and Kameron
• Myriah and Kameron

Tags

CCSS.HSF-LE.A.1B

Two linear functions are shown below. Which function has the greater rate of change?

(a)   has the greater rate of change because ​ (b)   is more than ​ (c)   .

• Function B
• 1
• Function A
• 4
• 3
• 2
• 3.2
• 2.3

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9