Proportional vs Non proportional

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 a non-proportional relationship?

Back

A non-proportional relationship is a relationship where the ratio of one quantity to another is not constant.

Front

If y = 3x, is this relationship proportional or non-proportional?

Back

Proportional

Front

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

Back

Yes, it is proportional because the ratio of flour to sugar is constant.

Front

What does the equation y = kx represent?

Back

It represents a proportional relationship where k is the constant of proportionality.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles (This is a proportional relationship: 60 miles/hour * 3 hours = 180 miles).

Front

What is the constant of proportionality in the equation y = 5x?

Back

The constant of proportionality is 5.

Front

If the cost of 5 apples is $10, what is the cost of 1 apple?

Back

$2 (This is a proportional relationship: $10/5 apples = $2 per apple).

Front

Is the relationship between the number of hours worked and the amount earned always proportional?

Back

Not always; it depends on whether the pay rate is constant.

Front

What is an example of a non-proportional relationship?

Back

A flat fee for a service, such as a monthly subscription fee, regardless of usage.