Proportional or Non-Proportional (Tables)

Front

What is a proportional relationship?

Back

A proportional relationship is one where 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 where the ratio between two quantities is not constant. For example, if you increase one quantity, the other does not increase at a consistent rate.

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 equal. For example, if the values in the first column are doubled, the values in the second column should also double.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

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

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

Back

If a table shows a non-proportional relationship, it means that the ratios of the values do not remain constant. For example, if one value increases but the corresponding value does not increase at the same rate, the relationship is non-proportional.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

How do you determine if a set of points on a graph represents a proportional relationship?

Back

To determine if a set of points on a graph represents a proportional relationship, check if the points lie on a straight line that passes through the origin (0,0).

Front

What is the difference between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where one variable is a constant multiple of another. All direct variations are proportional, but not all proportional relationships are direct variations.

Front

What is an example of a non-proportional relationship?

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 an hourly wage. The total pay does not increase at a constant rate.