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 do you find the constant of proportionality from a table of values?

Back

To find the constant of proportionality, divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

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

If 30 laps are completed in 10 minutes, what is the unit rate?

Back

3 laps per minute.

Front

What does it mean if a table of values is proportional?

Back

A table of values is proportional if the ratio of the two quantities remains constant across all pairs of values.

Front

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

Back

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

Front

If the constant of proportionality is 9, what does this mean?

Back

It means that for every unit increase in one quantity, the other quantity increases by 9 times that unit.

Front

How can you determine if a relationship is proportional from a graph?

Back

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

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.