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 a unit rate?

Back

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

Front

How can you identify a proportional relationship from a graph?

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 table of values is proportional?

Back

A table of values is proportional if the ratios of the corresponding values are constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

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 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 when the second variable is equal to one.

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

Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation of the form y = kx.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the speed of a car, where distance traveled is proportional to time taken at a constant speed.