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 or decreases, the other does so in a consistent manner.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, often involving a fixed amount added or subtracted.

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

How can you identify a proportional relationship from a graph?

Back

A proportional relationship will show a straight line that passes through the origin (0,0).

Front

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

Back

A non-proportional relationship will show a straight line that does not pass through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) that relates two proportional quantities.

Front

If a table of values shows a constant ratio, what can you conclude?

Back

You can conclude that the relationship is proportional.

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 a cell phone plan that charges a fixed monthly fee plus a variable rate for data usage.