Proportional Relationships in 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

How can you tell if a table represents a proportional relationship?

Back

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

Front

What does it mean if a table is not proportional?

Back

If a table is not proportional, the ratios of corresponding values are not equal, indicating a non-constant relationship.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k'.

Front

If x = 2 and y = 6, what is the constant of proportionality?

Back

k = y/x = 6/2 = 3.

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

What does a graph of a proportional relationship look like?

Back

A graph of a proportional relationship is a straight line that passes through the origin (0,0).

Front

If a table shows (1,2), (2,4), (3,6), is it proportional?

Back

Yes, because the ratio y/x is constant (2 in this case).

Front

What is the formula for finding the constant of proportionality?

Back

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

Front

What does it mean if a table has values (1,3), (2,5), (3,7)?

Back

These values do not represent a proportional relationship because the ratios are not constant.