Exploring Proportional and Non-Proportional Relationships

What is a key feature of a graph that indicates a proportional relationship?

• It intersects the y-axis above the origin.

• It passes through the origin (0,0).

• It has a curved line.

• It only appears in the first quadrant.

What is the significance of the origin point (0,0) in determining proportionality in graphs?

• It suggests the graph is non-linear.

• It indicates a high rate of change.

• It signifies a proportional relationship.

• It shows the graph is linear.

How can you tell if a table represents a proportional relationship?

• It includes the ordered pair (1,1).

• It has varying rates in each row.

• It contains the ordered pair (0,0).

• Each row is a multiple of 10.

What does the constant of proportionality represent in a table?

• The maximum value of y.

• The difference between each x-value.

• The sum of all y-values.

• The rate at which y increases as x increases.

Which of the following is a characteristic of a nonproportional table?

• All rows have the same unit rate.

• Different rows have different unit rates.

• It includes the ordered pair (0,0).

• It has a constant rate of change.

Which equation represents a proportional relationship?

• y = x/2 + 1

• y = 2x - 4

• y = 5x

• y = 5x + 3

Why is the equation y = 5x considered proportional?

• Because it includes a subtraction.

• Because it divides x by a constant.

• Because it only involves multiplication.

• Because it has a constant added to it.

How does the presence of a constant in an equation affect its proportionality?

• It results in a nonproportional relationship.

• It has no effect on proportionality.

• It makes the relationship proportional.

• It indicates a variable rate of change.

In a real-life scenario, what indicates a nonproportional relationship?

• A variable rate only.

• A fixed starting fee in addition to a variable rate.

• A constant rate of change.

• A constant speed or rate.

What makes a scenario like charging $4 per hour plus a $7 flat fee nonproportional?

• The flat fee.

• The total amount charged.

• The hourly rate.

• The total hours worked.