Proportional and Nonproportional 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 nonproportional relationship?

Back

A nonproportional relationship is a relationship between two quantities where the ratio is not 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 values in the table are constant.

Front

What does it mean for a graph to pass through the origin?

Back

A graph passes through the origin if the point (0,0) is on the graph, indicating that when one quantity is zero, the other is also zero.

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 values of (2, 4), (3, 6), and (4, 8), is it proportional?

Back

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

Front

If a graph intersects the y-axis at (0, 5), is it proportional?

Back

No, because it does not pass through the origin.

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

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

Back

Divide the y-value by the corresponding x-value for any pair of values in the table.

Front

What does it mean if a relationship is linear but not proportional?

Back

It means the relationship can be represented by a straight line, but it does not pass through the origin.