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 throughout the relationship.

Front

How can you determine if a relationship is proportional?

Back

A relationship is proportional if the ratio between the quantities is constant and can be represented by a straight line through the origin on a graph.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

If a table shows the values (2, 6), (4, 12), and (6, 18), what is the constant of proportionality?

Back

The constant of proportionality is 3, as each output value is 3 times the input value.

Front

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

Back

A non-proportional graph does not pass through the origin and the ratios of the quantities are not constant.

Front

Identify the constant of proportionality from the equation y = 4x.

Back

The constant of proportionality is 4.

Front

What is the relationship between the constant of proportionality and the slope of a line?

Back

In a proportional relationship, the constant of proportionality is equal to the slope of the line when graphed.

Front

If you earn $15 for each hour worked, what is the unit rate?

Back

The unit rate is $15 per hour.

Front

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents the ratio of the change in y to the change in x.

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality, y is the output, and x is the input.