Proportional or Non-Proportional (Tables)

Front

What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. 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 one in which the ratio between two quantities is not constant. For example, if you increase one quantity, the other may not increase in a consistent manner.

Front

How can you identify a proportional relationship using 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 2, 4, 6 and the second column values are 1, 2, 3, the ratios (2:1, 4:2, 6:3) are all equal.

Front

What does it mean if a table shows non-proportional values?

Back

If a table shows non-proportional values, it means that the ratios of the corresponding values are not the same. For example, if the first column values are 1, 2, 3 and the second column values are 2, 4, 7, the ratios (1:2, 2:4, 3:7) are not equal.

Front

Give 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. If you travel at 60 miles per hour, the distance covered is proportional to the time spent traveling.

Front

What is the constant of proportionality?

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

Front

How can you represent a proportional relationship graphically?

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A proportional relationship can be represented graphically by a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Front

What is the difference between direct and inverse proportionality?

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Direct proportionality means that as one quantity increases, the other also increases. Inverse proportionality means that as one quantity increases, the other decreases.

Front

What is an example of a non-proportional relationship?

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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

How do you determine if a relationship is proportional using equations?

Back

To determine if a relationship is proportional using equations, check if the equation can be written in the form y = kx, where k is a constant. If it can, the relationship is proportional.