Proportional Relationships -- Tables, Equations, and Graphs

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 from a table?

Back

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

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented by 'k'.

Front

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

Back

To find the constant of proportionality from a graph, determine the slope of the line, which represents the ratio of the change in the y-value to the change in the x-value.

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.

Front

How do you write an equation for a proportional relationship?

Back

To write an equation for a proportional relationship, identify the constant of proportionality and use the form y = kx.

Front

What does it mean for a relationship to be non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

How can you determine which option is a better deal using proportional relationships?

Back

To determine which option is a better deal, compare the unit rates of each option, which can be calculated using the constant of proportionality.

Front

What is the significance of the slope in a graph of a proportional relationship?

Back

The slope of the graph in a proportional relationship represents the constant of proportionality.

Front

How do you convert a proportional relationship from a table to an equation?

Back

To convert a proportional relationship from a table to an equation, identify the constant of proportionality from the table and use it to write the equation in the form y = kx.