Recognize 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

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

Back

A table represents a proportional relationship if the ratios of the values in the table are equivalent.

Front

What does it mean if two ratios are proportional?

Back

Two ratios are proportional if they can be expressed as equivalent fractions.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship on a graph is represented by a straight line that passes through the origin (0,0).

Front

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

Back

If a graph does not show a proportional relationship, it means the line does not pass through the origin or is not straight.

Front

Can a set of ratios be proportional if one of the ratios is zero?

Back

No, a set of ratios cannot be proportional if one of the ratios is zero, as it would not maintain a constant ratio.

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 the ratio of two quantities is 3:4, what is the constant of proportionality?

Back

The constant of proportionality is 3/4.

Front

What is the relationship between proportional relationships and linear equations?

Back

Proportional relationships can be represented by linear equations in the form y = kx, where k is the constant of proportionality.