Study Guide: Constant of Proportionality

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

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if it can be represented by a straight line that passes through the origin (0,0) on a graph.

Front

What is the graphical representation of a proportional relationship?

Back

A proportional relationship is represented by a straight line that passes through the origin.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

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.

Front

What are the characteristics of a non-proportional relationship?

Back

A non-proportional relationship does not pass through the origin and the ratio of y to x is not constant.

Front

In the equation y = 14x, what is the constant of proportionality?

Back

The constant of proportionality is 14.

Front

What does it mean if a graph is non-proportional?

Back

If a graph is non-proportional, it means that the relationship between the variables does not maintain a constant ratio and does not pass through the origin.

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 the slope of a proportional relationship?

Back

The slope of a proportional relationship is equal to the constant of proportionality (k).