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 of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified in a table if the ratios of corresponding values are 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 per one unit of another quantity.

Front

What is the equation form of a proportional relationship?

Back

The equation form of a proportional relationship is y = kx.

Front

If a car travels 60 miles in 1 hour, what is the unit rate?

Back

The unit rate is 60 miles/1 hour.

Front

Which line on a graph represents a proportional relationship?

Back

A line that passes through the origin (0,0) represents a proportional relationship.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, as one quantity increases, the other quantity increases at a constant rate.

Front

How do you find the constant of proportionality from a graph?

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents the ratio of y to x.

Front

What is the relationship between unit rate and constant of proportionality?

Back

The unit rate is the same as the constant of proportionality in a proportional relationship.