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 (C.o.P.) represent?

Back

The Constant of Proportionality represents the unit rate in a proportional relationship, indicating how much one quantity changes in relation to another.

Front

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

Back

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

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin, it indicates that the relationship is proportional, meaning that when one quantity is zero, the other quantity is also zero.

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

If a table shows the values (2, 4), (3, 6), (4, 8), is it proportional?

Back

Yes, the table is proportional because the ratio of y to x is constant (y/x = 2).

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

What does it mean if a graph is linear?

Back

A linear graph represents a constant rate of change, which can indicate a proportional relationship if it passes through the origin.

Front

How do you solve for k in a proportion?

Back

To solve for k in a proportion, set up the equation as a fraction and cross-multiply to find the value of k.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 3, as it does not pass through the origin.