Comparing Linear Functions

Function A is represented by the table.

Function B is represented by the equation y = 3x - 4.

Which function has the greatest rate of change (slope)?

• Function A.

• Function B.

• Neither. They have the same slope.

• There is not enough information to answer this question.

Tags

CCSS.HSF.IF.C.9

CCSS.HSS.ID.C.7

Function A is represented by the equation.

 $y=\frac{2}{3}x+5$  

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.HSF.IF.B.6

CCSS.HSF.IF.C.9

CCSS.HSS.ID.C.7

Who has the greater rate of change?

• Tyler

• Aubri

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

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

• $\ y=\frac{3}{5}x-5$

• $y=\frac{3}{7}x+2$

• $y=1+\frac{1}{2}x$

• $y=-1+\frac{1}{4}x$

Tags

CCSS.HSS.ID.C.7

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

• $f\left(x\right)=\frac{1}{2}x-5$

• $g\left(x\right)=x+6$

• $h\left(x\right)=\frac{3}{4}x-9$

• $j\left(x\right)=\frac{1}{4}x+8$

• $k\left(x\right)=x$

Tags

CCSS.HSF.IF.B.6

CCSS.HSF.IF.C.9

CCSS.HSS.ID.C.7

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper

• Nate’s service ($42 vs. $44) is cheaper

• Nate’s service ($38 vs. $40) is cheaper

• Beth's service ($42 vs. $44) is cheaper

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a greater slope?

• Equation A

• Equation B

• They have the same slope

Tags

CCSS.HSS.ID.C.7

Equation A: y = 3x - 1

Equation B: y = 1/2x + 1

Which equation has a greater y intercept?

• Equation A

• Equation B

• They have the same Y intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSS.ID.C.7

Which company charges more per hour?

• Water's Edge Rafts

• Ryan's Rafts

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Tags

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7

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.HSF.IF.B.6

CCSS.HSF.IF.C.9

CCSS.HSS.ID.C.7