Proportionality and Constant of Proportionality with No Graph

What is the constant of proportionality?

• k = 15 gallons of water per minute

• k = 1/15 gallons of water per minute

• k = 15 minutes per gallon of water

• k = 1/15 minute per gallons of water

The number of trees and the number of apples are given in the table above.  Determine which statement below is correct.

• The table is not proportional because there is not a constant of proportionality.

• The table is proportional and the constant of proportionality is 1/13.

• The table is proportional and the constant of proportionality is 13.

Create an equation to represent the proportional relationship in the following table.

• b=3a

• y=3x

• y=1/3x

• There is no equation because the table is not proportional.

Is this table Proportional?

• Yes, because the Constant of Proportionality is different each time.

• Yes, because the Constant of Proportionality is always 9.

• No, because the numbers are all different.

• No, because the Constant of Proportionality changes each time.

In the equation y = 14x, what is the constant of proportionality?

• y

• x

• 14

Craig earns extra money as a lifeguard. He earns $37 for 4 hours and $64.75 for 7 hours.  What is the constant of proportionality? 

• $37

• $64.75

• $9.25

• $18.50

Which of the tables above represents a proportional relationship?

• a & c

• a, b & c

• a, c & d

• all of them

What format do we find the constant unit rate or constant of proportionality(k)?

• x/y

• x,y

• y/x

• y,z

The constant of proportionality is also the unit rate.

• True

• False

Write an equation for this situation.

• y=9.75x

• y=19x

• y=19.25x

• y=9.5x