Constant of Proportionality and Slope

A graph of a proportional relationships has which characteristics? Select all.

• It is a straight line.

• It passes through the point (1,1).

• It increases and decreases.

• It is curved.

• It passes through the origin (0,0).

Tags

CCSS.8.EE.B.5

In the equation y = 3x, what is the constant of proportionality?

• y

• x

• 3

Tags

CCSS.8.EE.B.5

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

Which equation represents the value of k?

• $y\ =\ kx$
  

• $k\ =\ xy$
  

• 
  

  $k\ =\frac{y}{x}$

• $k\ =\ \frac{x}{y}$

Tags

CCSS.HSA.CED.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

What is the constant of proportionality for the table?

• 0

• 9

• 7

• 8

Tags

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

What is the constant of proportionality for the graph?

• k = 5

• k = 8

• k = 4

• k = 0

• None. This is not a proportional relationship.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

Write an equation to represent this proportional relationship.

• $y\ =\ \frac{1}{6}x$

• $k\ =\ 6x$

• $y\ =\ 6x$

• $y\ =\ 18x$

Tags

CCSS.6.EE.B.6

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Which table represents a proportional relationship?

• left

• right

• both

• neither

Tags

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

Write an equation that represents the table.

• $y\ =\ 90x\$

• $y\ =\ 30x$

• $k\ =\ 30y$

• $y\ =\ \frac{1}{30}x$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Identify the constant of proportionality.

• k = 100

• k = 50

• k = 150

• None. This is not a proportional relationship.

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.3

True or False: Slope is known as rate of change.

• True

• False

Tags

CCSS.HSF.IF.B.6

CCSS.HSS.ID.C.7