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 graph is proportional?

Back

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

Front

What does a non-proportional graph look like?

Back

A non-proportional graph does not pass through the origin and may curve or have a different slope.

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

What is the equation of a proportional relationship?

Back

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

Front

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

Back

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

Front

What does it mean if a table is proportional?

Back

A table is proportional if the ratio of y to x is constant for all pairs of values.

Front

If the constant of proportionality is 3/4, what is the equation?

Back

The equation is y = (3/4)x.

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

What is the significance of the constant of proportionality in a graph?

Back

The constant of proportionality indicates the steepness of the line and the rate of change between the variables.