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 non-proportional?

Back

A non-proportional table has varying ratios between the quantities, meaning the relationship is not constant.

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, is the relationship proportional?

Back

Yes, because the ratio 2:6 simplifies to 1:3, which is constant.

Front

If x = 3 and y = 8, is the relationship proportional?

Back

No, because the ratio 3:8 does not simplify to a constant ratio with other values.

Front

What does a proportional graph look like?

Back

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

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 is the formula for finding the constant of proportionality?

Back

The formula is k = y/x, where k is the constant of proportionality.

Front

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

Back

Yes, because the ratios (1:2, 2:4, 3:6) all simplify to 1:2.