Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is the constant rate of change?

Back

The constant rate of change is the amount by which one quantity changes in relation to another quantity, often represented as a slope in a graph.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because it indicates that when one quantity is zero, the other quantity is also zero, maintaining a constant ratio.

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin and may have a curved line or a straight line that starts above or below the origin.

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 the formula for finding the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant, y is the dependent variable, and x is the independent variable.

Front

What does a straight line on a graph indicate?

Back

A straight line on a graph indicates a constant rate of change, which is characteristic of proportional relationships.

Front

What is a table of values in relation to proportional relationships?

Back

A table of values shows pairs of numbers that represent the relationship between two quantities; if the ratios are constant, the relationship is proportional.

Front

How do you determine if a table is proportional?

Back

To determine if a table is proportional, check if the ratio of the dependent variable to the independent variable is constant for all pairs.