Equations of Proportional Relationships

What does the Equation for a Proportional Relationship look like?

• y = x

• x = ky

• y = kx

Answer explanation

y = kx is what every proportional equation looks like.

Tags

CCSS.6.EE.C.9

CCSS.6.RP.A.3

What does "k" represent? Check all that apply!

• The unit rate in a proportional relationship

• The constant of proportionality

• The origin

Answer explanation

The unit rate and constant or proportionality are the same in proportional relationships

Tags

CCSS.7.RP.A.2

In the expression 5x, the 5 is also known as the ....

• constant

• coefficient

• answer

Answer explanation

A number multiplying with a variable is called the coefficient.

Tags

CCSS.HSA.SSE.A.1

In proportional relationships, the coefficient is also the constant of proportionality... ASN

• Always

• Sometimes

• Never

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

A constant of proportionality is ________ a whole number

• Always

• Sometimes

• Never

Answer explanation

A coefficient can be a whole number, a fraction or a decimal.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

• y

• 1

• 2

Answer explanation

The constant of proportionality is the number multiplying with x.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.LE.B.5

What is the constant of proportionality in the equation y = 4x

• y

• 4

• x

• 4x

Answer explanation

The constant of proportionality is the number multiplying with x.

Tags

CCSS.HSS.ID.C.7

Does this equation represent a proportional relationship?

y = x²

• Yes, the value of k = 2

• Yes, the value of k = 1

• No, there can be no exponent for x

Answer explanation

Equations must be in the form y = kx

Tags

CCSS.8.F.A.3

CCSS.8.F.B.5

Does this equation represent a proportional relationship?

y = 2x + 1

• Yes, the value of k = 2

• Yes, the value of k = 1

• No, there can be no plus sign in a proportional equation

Answer explanation

Equations must be in the form y = kx

The equation y = 0.5x represents the cost (y) for a quantity of candies (x). Which statement is true?

• Each candy costs 5 cents

• Each candy costs 50 cents

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5