Proportional / 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 non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are equal.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables.

Front

What is the slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is constant and equal to the ratio of the two quantities.

Front

How can you tell if a graph is proportional?

Back

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

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as 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 two proportional quantities.

Front

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

Back

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

Front

If a graph has a slope of 0, what does it represent?

Back

A slope of 0 represents a horizontal line, indicating that the y-value does not change as the x-value changes.