Proportional Relationships in Tables, Graphs, & Equations

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 quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

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

Front

What does it mean for a graph to show a proportional relationship?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship, often represented by 'k'.

Front

How do you calculate the constant of proportionality from a graph?

Back

To calculate the constant of proportionality from a graph, find the slope of the line, which represents the ratio of the change in the y-values to the change in the x-values.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often used to express the constant of proportionality.

Front

How can you determine if a graph does not represent a proportional relationship?

Back

A graph does not represent a proportional relationship if it does not pass through the origin or if it is not a straight line.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.

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

How can you tell if a table is not proportional?

Back

A table is not proportional if the ratios of corresponding values are not constant or if the unit rates differ.