Proportional Relationships (Graphs and Tables)

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

How can you tell if a graph represents a proportional relationship?

Back

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

Front

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

Back

A non-proportional graph does not represent a constant ratio between the two quantities and may not pass through the origin.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key characteristic of proportional relationships.

Front

How do you determine if a table represents a proportional relationship?

Back

To determine if a table represents a proportional relationship, divide the y-values by the corresponding x-values. If the result is constant, the relationship is proportional.

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 linear relationship, which can be proportional if it passes 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

If a graph does not pass through the origin, what can you conclude?

Back

If a graph does not pass through the origin, it indicates that the relationship is non-proportional.

Front

What is the difference between proportional and non-proportional graphs?

Back

Proportional graphs are straight lines that pass through the origin, while non-proportional graphs may be curved or straight but do not pass through the origin.