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 is constant.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio between two proportional quantities.

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 constant.

Front

What is the formula for a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second quantity is one unit.

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.

Front

What is the significance of the origin in proportional relationships?

Back

In proportional relationships, the line must pass through the origin, indicating that when one quantity is zero, the other is also zero.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the ratios of the values are not constant or if it does not pass through the origin.

Front

How can you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.