8-7 Proportional vs. Non-Proportional

What are the main characteristic(s) of a proportional relationship between two variables?

• A proportional relationship is linear.

• A proportional relationship is linear and must pass through the origin.

• A proportional relationship is curved.

• A proportional relationship passes through the origin.

Does this graph represent a proportional relationship?

• No, because it doesn't pass through the origin.

• Yes, because it doesn't pass through the origin.

• Yes, because it intersects the y axis.

• No, because it intersects the x axis.

Why does this graph show a non-proportional relationship?

• Because it is proportional

• It goes through the origin

• It does not go through the origin

• It is a straight line

Is the graph proportional or non proportional?

• proportional

• non proportional

Write an equation for this situation.

• c = 9.75d

• c = 19.25 + d

• c = 19.25d

• c = 9.5d

REVIEW QUESTION

Which of the following best describes the table.

• Proportional and the equation is y = 1/4x

• Non-Proportional and the equation is y = 1/4x

• Proportional and the equation is y = 4x.

• Non-proportional and the equation is y = 4x.

The graph shows the water level as a bathtub fills. Select the correct choice that describes this graph.

• The graph is proportional because it's a line.

• The graph is proportional because it has a slope.

• The graph is non-proportional because it's a line.

• The graph is non-proportional because it doesn't pass through (0, 0).

Which statement best describes the relationship between x and y in the table?

• Proportional
• Not Proportional

Which best describes this graph?

• linear and non-proportional

• linear and proportional

• nonlinear and non-proportional

• nonlinear and proportional

Shawn makes $7.50 an hour to babysit for her next door neighbors.  Describe the graph of this relationship.

• Proportional
• Non-proportional