Identifying Proportional Relationships Tables

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other quantity is constant.

Front

How can you identify a proportional relationship in a table?

Back

A table shows a proportional relationship if the ratios of the corresponding values are equal.

Front

If y is directly proportional to x, what does that mean?

Back

It means that as x increases, y increases at a constant rate, and can be expressed as y = kx, where k is the constant of proportionality.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities.

Front

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

Back

You can find the constant of proportionality by dividing the value of y by the value of x for any pair of corresponding values.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1, often used to find the constant of proportionality.

Front

What does a straight line passing through the origin represent on a graph?

Back

A straight line passing through the origin represents a proportional relationship between the two variables.

Front

What does a horizontal line on a graph indicate?

Back

A horizontal line indicates that one variable does not change as the other variable changes, meaning there is no proportional relationship.

Front

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

Back

The constant of proportionality is 18.50.

Front

What is the equation of a proportional relationship?

Back

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