Identifying Proportional Relationships (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 identify a proportional relationship in a table?

Back

You can identify a proportional relationship in a table by checking 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, it means that the ratios of the corresponding values are not constant.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

If A = 4 and B = 12, is the relationship proportional?

Back

Yes, because the ratio A:B = 4:12 simplifies to 1:3, which is constant.

Front

If A = 5 and B = 15, what is the missing value of B when A = 10?

Back

B = 30, because the relationship is proportional (A:B = 1:3).

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

How do you find the constant of proportionality from a table?

Back

Divide the value of one quantity by the corresponding value of the other quantity.

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 it mean if the statement 'the relationship is proportional' is true?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.