Proportional vs. Nonproportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning the relationship does not maintain a consistent rate of change.

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is on the graph, indicating that when one quantity is zero, the other quantity is also zero.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented in the equation y = kx.

Front

How can you identify a proportional relationship from a table of values?

Back

A proportional relationship can be identified if the ratio of y to x is constant for all pairs of values in the table.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship is typically in the form y = kx, where k is the constant of proportionality.

Front

What does the slope of a line represent in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant of proportionality (k).

Front

Can a linear equation with a y-intercept represent a proportional relationship?

Back

No, a linear equation with a y-intercept other than zero (e.g., y = mx + b where b ≠ 0) represents a non-proportional relationship.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the cost of a taxi ride that includes a base fare plus a charge per mile.