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'. It remains constant as the values change.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

What does it mean if a relationship is non-proportional?

Back

A non-proportional relationship does not maintain a constant ratio between two quantities, meaning the graph does not form a straight line through the origin.

Front

If the constant of proportionality is k = 5, what does this mean?

Back

It means that for every unit increase in the independent variable, the dependent variable increases by 5 units.

Front

What is the constant of proportionality in the equation y = 9x?

Back

The constant of proportionality is 9.

Front

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

Back

Divide the dependent variable by the independent variable for any pair of corresponding values. If the ratio is constant, that value is the constant of proportionality.

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

If a table shows values (2, 4), (3, 6), (4, 8), what is the constant of proportionality?

Back

The constant of proportionality is 2, as each dependent value is twice the independent value.

Front

What does the term 'proportional' mean in mathematics?

Back

In mathematics, 'proportional' means that two quantities maintain a constant ratio to each other.

Front

Which of the following represents a proportional relationship: y = 3x or y = x + 2?

Back

y = 3x represents a proportional relationship because it can be expressed as a constant ratio.