Proportional Equations and 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 is constant.

Front

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

Back

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

Front

What does the equation y = kx represent in proportional relationships?

Back

In this equation, k is the constant of proportionality, which shows how much y changes for each unit change in x.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the factor by which one quantity is multiplied to obtain another quantity in a proportional relationship.

Front

If y = 5x, what is the constant of proportionality?

Back

The constant of proportionality is 5.

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 do you find a missing value in a proportional table?

Back

To find a missing value, set up a proportion using the known values and solve for the unknown.

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 slope of a line in a proportional relationship?

Back

The slope of a line in a proportional relationship is equal to the constant of proportionality.

Front

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically by a straight line that passes through the origin.