Identifying 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 of proportionality?

Back

The constant of proportionality is the constant value (m) that relates two proportional quantities, often represented in the equation y = mx.

Front

How can you identify a proportional relationship from a table?

Back

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

Front

What does it mean if a graph does not start at the origin?

Back

If a graph does not start at the origin (0,0), it does not represent a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

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

Front

How do you find the constant of proportionality from an equation?

Back

To find the constant of proportionality from an equation, rearrange it to the form y = mx and identify the value of m.

Front

What is the significance of a straight line in a graph?

Back

A straight line through the origin in a graph indicates a proportional relationship between the two variables.

Front

What does it mean if an equation is not proportional?

Back

An equation is not proportional if it cannot be expressed in the form y = mx, or if it has a constant term that is not zero.

Front

How do you determine if a table is proportional?

Back

To determine if a table is proportional, check if the ratios of y to x are the same for all pairs of values.

Front

What is an example of a proportional relationship?

Back

An example of a proportional relationship is the relationship between distance and time at a constant speed, represented by the equation d = rt.