Proportional Relationships in Tables, Graphs, and Equations

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 proportional relationship in a table can be identified if the ratios of corresponding values are the same for all pairs.

Front

What does the slope of a graph represent in a proportional relationship?

Back

The slope of a graph in a proportional relationship represents the constant rate of change between the two variables.

Front

What is the equation of a proportional relationship?

Back

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

Front

How do you determine the constant of proportionality from a graph?

Back

The constant of proportionality can be determined by finding the slope of the line on the graph, which is the change in y divided by the change in x.

Front

What is the significance of the origin (0,0) in a proportional relationship graph?

Back

The origin (0,0) signifies that when one quantity is zero, the other quantity is also zero, indicating a direct relationship.

Front

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

Back

A graph represents a proportional relationship if it is a straight line that passes through the origin.

Front

What is the relationship between the rates of change in a proportional relationship?

Back

In a proportional relationship, the rates of change are constant and can be expressed as a ratio.

Front

How do you solve for an unknown in a proportional relationship?

Back

To solve for an unknown in a proportional relationship, set up a proportion and cross-multiply to find the missing value.

Front

What is an example of a real-world proportional relationship?

Back

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