Proportional or Non-Proportional (Tables)

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. For example, if you double one quantity, the other quantity also doubles.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant. For example, if you increase one quantity, the other quantity does not necessarily increase in a consistent manner.

Front

How can you identify a proportional relationship in a table?

Back

In a table, a proportional relationship can be identified if the ratios of corresponding values are the same. For example, if the values in the first column are doubled, the values in the second column should also double.

Front

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

Back

In a table, a non-proportional relationship can be identified if the ratios of corresponding values are not the same. For example, if one value increases but the corresponding value does not increase at the same rate.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities. It can be found by dividing one quantity by the other.

Front

Give an example of a proportional relationship in real life.

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed. If you travel at 60 miles per hour, the distance traveled is proportional to the time spent traveling.

Front

Give an example of a non-proportional relationship in real life.

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and the total pay if there is a fixed salary plus overtime pay. The total pay does not increase at a constant rate.

Front

What does it mean if a graph is a straight line through the origin?

Back

If a graph is a straight line through the origin, it indicates a proportional relationship between the two variables. The slope of the line represents the constant of proportionality.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates a non-proportional relationship between the two variables. This means that there is a fixed amount added or subtracted.

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.