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 across 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, which is the change in y divided by the change in x.

Front

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

Back

The point (0,0) signifies that when the independent variable is zero, the dependent variable is also zero, indicating no output.

Front

What is the significance of the point (2, 94) in a real-world context?

Back

In a real-world context, the point (2, 94) signifies that after 2 weeks or episodes, a certain amount of money or resource has been accumulated.

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 (0,0).

Front

What are the characteristics of a proportional relationship in a graph?

Back

Characteristics include a straight line through the origin, a constant slope, and equal ratios of y to x.

Front

What does it mean if a table shows values that do not maintain a constant ratio?

Back

If a table shows values that do not maintain a constant ratio, it indicates that the relationship is not proportional.