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 constant of proportionality represent?

Back

The constant of proportionality represents the ratio between two proportional quantities, often denoted as '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 formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where 'k' is the constant of proportionality.

Front

What is the significance of the rate of change in a proportional relationship?

Back

The rate of change in a proportional relationship is constant and indicates how one quantity changes in relation to another.

Front

How can you determine if a relationship is proportional from a word problem?

Back

To determine if a relationship is proportional from a word problem, check if the relationship can be expressed as a constant ratio between the two quantities.

Front

What is an example of a proportional relationship in real life?

Back

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

Front

What does it mean if a table does not represent a proportional relationship?

Back

If a table does not represent a proportional relationship, it means that the ratios of corresponding values are not constant.

Front

How can you represent a proportional relationship using a graph?

Back

A proportional relationship can be represented using a graph as a straight line that passes through the origin (0,0).