Proportional Relationships

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 if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant and it passes through the origin.

Front

What is the unit rate?

Back

The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as a fraction with a denominator of one.

Front

What does the constant of proportionality represent?

Back

The constant of proportionality is the constant ratio between two proportional quantities, often represented as 'k' in the equation y = kx.

Front

If y = 9x, what is the constant of proportionality?

Back

The constant of proportionality is 9.

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number.

Front

What is the reciprocal of 5?

Back

The reciprocal of 5 is 1/5.

Front

How do you find the unit rate from a ratio?

Back

To find the unit rate, divide both quantities in the ratio by the quantity in the denominator.

Front

If a recipe requires 4 cups of flour for 2 cups of sugar, what is the unit rate of flour to sugar?

Back

The unit rate is 2 cups of flour per 1 cup of sugar.

Front

What does it mean if a relationship is not proportional?

Back

A relationship is not proportional if the ratios are not constant or if it does not pass through the origin.