Equations for Proportional Relationships

The constant of proportionality of this graph is k = 45. What does it mean?

• The boat travels for 45 miles for every 45 hours

• The boat travels 1 mile for every 45 hours

• The boat travels 45 miles for every 1 hour

• The boat travels 1/45 mile for every 1 hour

The graph above shows the price of games in dollars.  Is the graph proportional and how do you know?

• The graph is proportional  because it is linear.

• The graph is proportional because it is linear and passes through the origin.

• The graph is not proportional because it does not pass through the origin.

• The graph is not proportional because it is not linear and it does not pass through the origin.

Tags

CCSS.7.RP.A.2

Write an equation for this relationship.

• c = 0.05d

• c = 18.50d

• d = 0.05c

• d = 18.50c

Tags

CCSS.7.RP.A.2

CCSS.7.EE.B.4

Sally will earn $30 for every 5 hours that she babysits. Which of the following equations can be used to represent the proportional relationship?

• y = 1/6x +30

• y = 6x

• y = 5x + 6

• y = 6x +5

Tags

CCSS.7.RP.A.2

CCSS.7.RP.A.1

What is the equation of the line?

• y = 20x

• y = x + 20

• y = 2x

• y = x + 2

Is the picture showing an additive or a multiplicative relationship?

• Additive

• Multiplicative

What is the constant of proportionality? 

• 45 mph

• 90 mph

• 135 mph

• 2 mph

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 in dollars per hour? 

• $37 / hour

• $64.75 / hour

• $9.25 / hour

• $18.50 / hour

Which graph is proportional?

• A

• B

• None of the graphs

• All of the graphs are proportional

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

Tags

CCSS.7.RP.A.1