Proportions with Linear Equations

Harry is making bouquets of balloons. He makes the bouquets so that 2 out of every 5 balloons are red. Which equation correctly compares the number of balloons he uses, x, to the number of red balloons, y?

Which equation represents a proportional relationship?

Which line represents a proportional relationship?

A band consists of 3 woodwinds for every 7 members of the band. The independent quantity represents the total members of the band. What is the constant of proportionality for this relationship?

• 3/7

• 3/4

• 4/3

• 7/3

Which statement is always true?

• A linear relationship is proportional.

• A linear relationship is non-proportional.

• A proportional relationship contains the point (0, 0).

• A non-proportional relationship has a constant rate of change.

A bird-watcher estimates the number of songbirds to the number of birds of prey he will see on a bird-watching trip. His predictions are shown in the graph. What is the rate of change?

A class is taking a trip to the aquarium. The teacher has received only 2 permission slips for every 5 students in the class. Use the graph to determine which line represents the situation.

• Kelley uses 2 parts blue for every 3 parts yellow. 

• Kelley uses 3 parts blue for every 2 parts yellow. 

• Kelley uses 2 parts blue for every 5 parts yellow. 

• Kelley uses 5 parts blue for every 2 parts yellow. 

The ratio of boys to girls at a school dance is shown in the graph. Which equation has a greater rate of change than the rate shown on the graph?

Which two statements can you use to conclude that the relationship is non-proportional?

• The graph of the relationship is linear.

• The y-intercept of the graph is (0, 1).

• The relationship has a constant rate of change.

• The equation of the relationship is not in the form y = kx.