Proportional vs. Non-Proportional

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

How can you identify a proportional relationship in a graph?

Back

In a graph, a proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

How can you identify a non-proportional relationship in a graph?

Back

A non-proportional relationship is represented by a straight line that does not pass through the origin or a curve.

Front

What does the equation y = kx represent?

Back

This equation represents a proportional relationship where k is the constant of proportionality.

Front

What does the equation y = mx + b represent?

Back

This equation represents a linear relationship where m is the slope and b is the y-intercept; it is non-proportional if b is not zero.

Front

What is the constant of proportionality?

Back

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

Front

How can you tell if a table of values shows a proportional relationship?

Back

A table shows a proportional relationship if the ratios of corresponding values are constant.

Front

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

Back

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

Front

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

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed fee added.