Find Slope of Proportional Relationships Using Table of Values

Which statement best describes the relationship of x and y in the table? Hint: Find the ratio between y and x. If it is constant, that value is the Constant of Proportionality (AKA: Unit Rate) and the relationship is proportional. You can determine if it is constant by dividing y by x for every (x,y) pair. Money/Hours. (k=y/x) If the quotient is the same for every ratio of y/x, then the relationship is proportional and the quotient is the Constant of Proportionality.

• Proportional

• Not Proportional

Tags

CCSS.7.RP.A.2A

Write the equation for the table. Find the Constant of Proportionality. (k=y/x; k represents the Constant of Proportionality) Then, put it in the form y=kx. *REMEMBER: k is the Constant of Proportionality.

• y = 1/3x

• y = 3x

• y = 1/2x

• x = 3y

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the constant of proportionality (in miles per hour) based on the table?

• 45

• 90

• 135

• 2

Tags

CCSS.7.RP.A.2B

(a)  

Tags

CCSS.7.RP.A.2D

What is the slope of the table?

• 3

• 1/3

• 2

• -1/2

Tags

CCSS.8.EE.B.5

Find the slope. 

• 3/2

• 2/3

• 2

• 3

Tags

CCSS.8.EE.B.5

Find the slope from the table:

• -2/5

• 5/-2

• 5/2

• 2/5

Tags

CCSS.8.EE.B.5

What is the slope of the table?

• -2

• 2

• 1/2

• -4

Tags

CCSS.8.EE.B.5

Is the given table a proportional relationship? If so, what is the constant of proportionality?

• Yes; X=1/3

• No

• Yes; X=3

• Yes; X=5

Tags

CCSS.7.RP.A.2B

Determine the constant of proportionality.

• 5

• 0.2

• 1

• 1.4

Tags

CCSS.7.RP.A.2B