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 quantity is constant.

Front

What is the constant rate of change in a proportional relationship?

Back

The constant rate of change is the ratio that describes how much one quantity changes in relation to another quantity.

Front

What does it mean if a table does not show a proportional relationship?

Back

It means that the ratios of the quantities in the table are not constant.

Front

What is a key characteristic of a graph that represents a proportional relationship?

Back

A key characteristic is that it is a straight line that passes through the origin (0,0).

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it means that the value of the dependent variable is not zero when the independent variable is zero, indicating it is not proportional.

Front

How can you determine if a graph is proportional?

Back

You can determine if a graph is proportional by checking if it is a straight line that passes through the origin.

Front

What is the slope in a proportional relationship?

Back

The slope is the constant rate of change, representing how much the dependent variable changes for a unit change in the independent variable.

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 does it mean if a graph does not pass through the origin?

Back

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

Front

What is the formula for finding the constant of proportionality?

Back

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