Comparing Slopes: Tables and Equations

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

• Jason because he runs at a pace of 6 miles per hour.

• His friend because he runs at a pace of 6 miles per hour.

• Jason because he runs at a pace of 7 miles per hour.

• His friend because he runs at a pace of 7 miles per hour.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

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. Compare their rates.

• Brandi's luggage weighs more because it weighs 40 lbs per bag.

• Javier's luggage weighs more because it weighs 40lbs per bag.

• Brandi's luggage weighs more because it weighs 30 lbs per bag.

• Javier's luggage weighs more because it weighs 30 lbs per bag.

Tags

CCSS.8.EE.B.5

Compare the rates that each rental store charges per hour.

• Water's Edge Rafts has a lower rate because they charge $6 per hour.

• Water's Edge Rafts has a lower rate because they charge $5 per hour.

• Ryan's Rafts has a lower rate because they charge $2.25 per hour.

• Ryan's Rafts has a lower rate because they charge $15.00 per hour.

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

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Compare their rates.

• Nate's service has a higher rate of $4.

• Beth's service has a higher rate of $10.

• Nate's service has a higher rate of $6.

• Beth's service has a higher rate of $5.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Compare the rates of change. Which statement is true about functions A and B?

• They have the same rate of change
• A has a greater rate of change than B
• A and B both have negative rates of change
• A has a negative ROC and B has a positive ROC

Tags

CCSS.7.RP.A.2D

• The rate of change of f(x) is less than the rate of change of g(x)
• The rate of change of f(x) is greater than the rate of change of g(x) 
• The y intercept of f(x) is equal to the rate of change of g(x) 
• The y intercept of f(x) is greater than the rate of change of g(x)

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which company pays the most per pizza?

• Bombinoe's Pizza
• Little Squeezer's Pizza
• Pizza Tent
• Papa Ron's 

Tags

CCSS.8.EE.B.5