Constant of Proportionality

Front

What is the constant of proportionality?

Back

The constant of proportionality is a constant value that relates two proportional quantities. It is the ratio of one quantity to another when the two quantities are directly proportional.

Front

How do you find the constant of proportionality from a set of values?

Back

To find the constant of proportionality, divide one quantity by the corresponding quantity. For example, if 624 calories are in 3 servings, the constant is 624 ÷ 3 = 208 calories per serving.

Front

If a graph shows a straight line through the origin, what does it indicate about the relationship between the variables?

Back

It indicates a proportional relationship, meaning that as one variable increases, the other variable increases at a constant rate.

Front

What is the constant of proportionality for the equation y = 4x?

Back

The constant of proportionality is 4.

Front

If Craig earns $37 for 4 hours, what is his hourly rate?

Back

$9.25 per hour.

Front

What does it mean if a table shows a constant ratio between two quantities?

Back

It means that the relationship between the two quantities is proportional, and you can find the constant of proportionality.

Front

How can you determine if a relationship is proportional from a table of values?

Back

Check if the ratios of corresponding values are equal. If they are, the relationship is proportional.

Front

What is the constant of proportionality in the equation y = 3x?

Back

The constant of proportionality is 3.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the constant of proportionality for flour to sugar?

Back

The constant of proportionality is 2/3 cups of flour per cup of sugar.

Front

What is the constant of proportionality for the following data: (2, 6), (4, 12), (6, 18)?

Back

The constant of proportionality is 3, since 6 ÷ 2 = 3, 12 ÷ 4 = 3, and 18 ÷ 6 = 3.