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 of values represents a proportional relationship?

Back

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

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit, often used to find the constant of proportionality.

Front

What does a proportional graph look like?

Back

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

Front

If y = 1/4x, what is the constant of proportionality?

Back

The constant of proportionality is 1/4.

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.

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 is the change in y divided by the change in x.

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

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratios of the quantities are not constant, and the graph does not pass through the origin.

Front

How can you express a proportional relationship using an equation?

Back

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