4.1.2 Using Tables, Graphs, and Equations Proportional Rel.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities, indicating how one quantity changes in relation to another.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

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

Back

A table represents a proportional relationship if the ratio of the values in one column to the values in another column is constant.

Front

What does it mean if a relationship is proportional?

Back

A proportional relationship means that as one quantity increases, the other quantity increases at a constant rate, maintaining a consistent ratio.

Front

What is an example of a proportional relationship?

Back

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

Front

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

Back

To find the constant of proportionality from a table, divide the values in one column by the corresponding values in another column and check if the result is the same for all pairs.

Front

What is the formula for finding the constant of proportionality?

Back

The formula for finding the constant of proportionality (k) is k = y/x, where y is the dependent variable and x is the independent variable.

Front

What is the significance of the unit rate in real-life situations?

Back

The unit rate helps in making comparisons and understanding costs, speeds, and other rates in everyday life, such as price per item or miles per hour.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when the ratio between two quantities is not constant, meaning that as one quantity changes, the other does not change at a consistent rate.

Front

How can you identify a non-proportional relationship in a graph?

Back

In a graph, a non-proportional relationship is identified by a line that does not pass through the origin or is not straight.