Proportional Relationships with 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?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Front

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

Back

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

Front

If a table shows values (2, 4), (3, 6), (4, 8), what is the constant of proportionality?

Back

The constant of proportionality is 2.

Front

What does it mean if a table does not show a proportional relationship?

Back

It means that the ratios of the corresponding values are not constant.

Front

In a proportional relationship, if one quantity doubles, what happens to the other quantity?

Back

The other quantity also doubles.

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.

Front

If a table has the values (1, 3), (2, 6), (3, 9), is it proportional?

Back

Yes, because the ratio is constant (1:3).

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

If a table shows (5, 15), (10, 30), (15, 45), what is the constant of proportionality?

Back

The constant of proportionality is 3.