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 corresponding values are equal.

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 ratio between two proportional quantities, often represented as 'k'.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, because the ratio of y to x is constant (2:1).

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be written as y = kx, where k is the constant of proportionality.

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship does not pass through the origin and may be a curved line or a straight line that does not start at (0,0).

Front

Can a proportional relationship have a constant that is not 1?

Back

Yes, a proportional relationship can have any constant value (k), not just 1.

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 determine if a graph is proportional?

Back

Check if the line is straight and passes through the origin.