Constant of proportionality

Front

What is the constant of proportionality?

Back

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

Front

How do you identify a proportional relationship from a table of values?

Back

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

Front

What does the point (0, 0) represent in a graph of a proportional relationship?

Back

The point (0, 0) is called the origin and represents the starting point of the relationship, indicating that when x is 0, y is also 0.

Front

If y = 18.50x, what is the constant of proportionality?

Back

The constant of proportionality is 18.50.

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, it means that the ratios of the corresponding values are not constant.

Front

How can you find the constant of proportionality from an equation?

Back

You can find the constant of proportionality by identifying the coefficient of x in the equation y = kx.

Front

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

Back

In a graph, the constant of proportionality is equivalent to the slope of the line representing the proportional relationship.

Front

Can a proportional relationship have a negative constant of proportionality?

Back

Yes, a proportional relationship can have a negative constant of proportionality, indicating an inverse relationship between the variables.

Front

What is the significance of the constant of proportionality in real-world applications?

Back

The constant of proportionality helps to understand how one quantity changes in relation to another, which is essential in fields like physics, economics, and engineering.