Interpret and Graph the Proportional Relationship

Based on this graph, which of the following INCORRECTLY describes the meaning of its corresponding point? Then, explain the error.

• (2, 3) means that there are 2 cups of sugar for 3 cups of flour

• (4, 6) means that there are 6 cups of flour for 4 cups of sugar

• (6, 9) means that there are 9 cups of sugar for 6 cups of flour

• (8, 12) means that there are 8 cups of sugar for 12 cups of flour

Determine if this table represents a proportional relationship. Is there a constant ratio? If so, state the constant of proportionality. Type the correct COP as a decimal or NO.

Determine if this graph represents a proportional relationship. Is there a constant ratio? If so, state the constant of proportionality.

• 3

• 1/3

• 9/3

• Not a proportion

Is this the graph of a proportion? Explain how you know based on the features of the graph.

• Straight line through the origin - it is a proportion

• Not a proportion

Describe the two key features of the graph of a proportional relationship.

• Straight line

• Curved line

• Through the origin

• Not through the origin

Write an equation for this proportional relationship in y = kx form. Use meaningful letters to represent the variables.

• s=1/3a

• s=3a

• a=1/3s

• a=3s

Write a y=kx equation that models the graph of a proportion passing through the point (10, 5).

• y=2x

• y=10x

• y=5x

• y=0.5x

Determine the constant of proportionality from the table.

Write an equation for this proportional relationship in y = kx form. Use meaningful letters to represent the variables.

• y=5/6x

• y=1.2x

• b=5/6g

• b=1.2g

The graph shows my vacation driving this summer. Determine whether the function is proportional or non proportional. Justify your answer.

Tags

8.5.A

8.5.F