Comparing Rate of Change Between Intervals of Two Functions

Function A is represented by the equation.

Function B is represented by the graph.

Which function has the greater rate of change?

• Function A

• Function B

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The function C(m) = 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.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

List the types of intervals that the graph demonstrates in order.

• decreasing, constant(0), increasing, constant(0)

• increasing, decreasing, constant(0)

• increasing, constant(0), increasing, constant(0)

• increasing, constant(0), decreasing, constant(0)

Tags

CCSS.HSF.IF.B.4

Who has the greater rate of change?

• CJ has a greater rate of change with 13/2

• Holland has a greater rate of change with 6

• CJ has a greater rate of change with 2/13

• They have the same rate of change.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who has the greater rate of change?

• Troy has the greater rate of change.

• Lucy has the greater rate of change 

• They have the same rate of change

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who has the greater rate of change?

• Smith has the greater rate of change with 5/4

• Harmon has the greater rate of change with 7/2

• Smith has the greater rate of change with 4/5

• They have the same rate of change.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which company shows a greater rate of change?

• Water's Edge Rafts

• Ryan's Rafts

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Find the rate of change.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Who has the same rate of change?

• Dennis and Kameron have the same rate of change.

• Myriah and Kameron have the same rate of change.

• Dennis and Myriah have the same rate of change.

• They ALL have the same rate of change

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who has the greater rate of change?

• Braden has the greater rate of change with 60/3

• Omar has the greater rate of change with 100

• Braden has the greatest rate of change with 60

• They both have the same rate of change

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9