Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

How do you identify a proportional relationship from a table?

Back

A proportional relationship can be identified if the ratios of the quantities are equivalent.

Front

What is the equation of a proportional relationship?

Back

The equation is in the form y = kx, where k is the constant of proportionality.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional 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 constant value (k) that relates the two quantities in a proportional relationship.

Front

How can you determine if an equation represents a proportional relationship?

Back

An equation represents a proportional relationship if it can be written in the form y = kx.

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

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

How do you find the unit rate from a proportional relationship?

Back

To find the unit rate, divide the quantity of one variable by the quantity of the other variable.