Lesson 4.2: Constant Rates of Change

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities, often represented as y = kx.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if the ratios of the two quantities are equal, meaning that as one quantity changes, the other changes at a constant rate.

Front

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

Back

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

Front

In the equation y = kx, what does k represent?

Back

In the equation y = kx, k represents the constant of proportionality.

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality in the equation y = 3x is 3.

Front

If the constant of proportionality is 5, what is the equation that represents this relationship?

Back

The equation that represents this relationship is y = 5x.

Front

What is the constant of proportionality in the equation y = ½x?

Back

The constant of proportionality in the equation y = ½x is ½.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of y to x are the same for all pairs of values.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship in real life is the relationship between distance and time when traveling at a constant speed.

Front

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

Back

A relationship is non-proportional if the ratios of the two quantities are not equal, meaning they do not change at a constant rate.