12/3 ACC Proportional/Non-Proportional Situations

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio. If one quantity increases, the other increases at the same rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant. Changes in one quantity do not result in consistent changes in the other.

Front

Identify if the following situation is proportional: If you buy 3 apples for $6, how much would 5 apples cost?

Back

Yes, it is proportional. The cost per apple is constant ($2 per apple).

Front

Identify if the following situation is proportional: If you earn $10 for every hour worked, how much do you earn for 4 hours?

Back

Yes, it is proportional. You earn $40 for 4 hours, maintaining a constant rate.

Front

Identify if the following situation is proportional: If you drive 60 miles in 1 hour, how far do you drive in 2 hours?

Back

Yes, it is proportional. You would drive 120 miles in 2 hours.

Front

What is the equation of a proportional relationship?

Back

Front

What is the equation of a non-proportional relationship?

Back

Front

Back

Front

Back

Non-Proportional. The presence of the -1 means the ratio is not constant.

Front

If a recipe calls for 2 cups of flour for every 3 cups of sugar, is this proportional?

Back

Yes, it is proportional. The ratio of flour to sugar remains constant.