Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is the constant of proportionality.

Front

If a table shows values of x and y, how do you find the constant of proportionality?

Back

To find the constant of proportionality, divide the value of y by the corresponding value of x for any pair of values in the table.

Front

What does it mean for a relationship to be non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

Can a proportional relationship be represented by a graph?

Back

Yes, a proportional relationship can be represented by a straight line that passes through the origin (0,0) on a graph.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

How do you write an equation for a proportional relationship given a constant of proportionality?

Back

If the constant of proportionality is k, the equation can be written as y = kx.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope of the line in a graph of a proportional relationship represents the constant of proportionality.

Front

How can you identify proportional relationships from multiple tables?

Back

You can identify proportional relationships by checking if the ratios of corresponding values are equal across the tables.