Module 2 Topic 1 Review

Jason is making bouquets of balloons. He makes the bouquets so that 2 out of every 3 balloons are red. Which equation correctly compares the number of balloons he uses, x, to the number of red balloons, y?

• y=⅔x

• y=⅖x

• y=³⁄₂x

• y=⁵⁄₂x

Which equation represents a proportional relationship?

• y = x + 3

• y = ¼x + 3

• y = ¼x

• y = ¼x + 5

A band consists of 6 woodwinds for every 14 members of the band. The independent quantity represents the total members of the band and the dependent quantity represents the woodwind members of the band. What is the constant of proportionality for this relationship?

• ⁸⁄₆

• ⁶⁄₁₄

• ¹⁴⁄₆

• ⁶⁄₈

Which statement is always true?

• A linear relationship is proportional.

• A linear relationship is non-proportional.

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

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

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 in the graph?

• ¼

• ⅜

• ²⁄₇

• ⁴⁄₁

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 in the graph?

• y=⅔x

• y=⅕x

• y=²⁄₉x

• y=⅐x

Chrissy is mixing blue and yellow food coloring to make green food coloring for her bakery. The relationship between the amounts of food coloring she mixes can be modeled by the equation b=⅗y, where b represents the amount of blue food coloring and y represents the amount of yellow food coloring. Which of the following statements is true?

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

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

• Chrissy uses 3 parts blue for every 5 parts yellow.

• Chrissy uses 5 parts blue for every 3 parts yellow.

Which statement can you use to conclude that the relationship must be non-proportional?

• The graph of the relationship is linear.

• The relationship has a constant rate of change.

• The equation of the relationship is in the form of y=kx.

• The y-intercept of the graph of the relationship is (0,2).

When graphed, which line will have the greatest rate of change?

• y = 7x

• y = 6.5x

• y = 0.7x

• y = 0.5x

Which statement correctly describes the relationship represented by the graph?

• The relationship is linear and proportional.

• The relationship is linear and non-proportional.

• The relationship is non-linear and proportional.

• The relationship is non-linear and non-proportional.