WK 06 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.

Front

What is the Constant of Proportionality (k)?

Back

The Constant of Proportionality (k) is the constant value that relates two proportional quantities, often represented as k = y/x.

Front

How can you determine if a table of values is proportional?

Back

A table of values is proportional if the ratios of corresponding values are equal, meaning the Constant of Proportionality is the same for all pairs.

Front

What does it mean if a table is non-proportional?

Back

A non-proportional table means that the ratios of the values do not remain constant; the relationship between the quantities is not consistent.

Front

If the Constant of Proportionality is 9, what does that imply about the relationship?

Back

It implies that for every unit increase in x, y increases by 9 units.

Front

What is the equation of a proportional relationship if k = 14?

Back

Front

If you have $18 for 2 hours of work, what is the Constant of Proportionality?

Back

The Constant of Proportionality is $9 per hour, calculated as $18 divided by 2 hours.

Front

What is the significance of the slope in a proportional relationship graph?

Back

The slope of the line in a proportional relationship graph represents the Constant of Proportionality (k).

Front

How do you identify the Constant of Proportionality from a graph?

Back

You can identify it by finding the slope of the line, which is the change in y divided by the change in x.

Front

What is an example of a proportional relationship in real life?

Back

An example is the relationship between distance and time when traveling at a constant speed.