Proportional Relationships Practice

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 quantity is constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1. It tells how much of one quantity corresponds to one unit of another quantity.

Front

How do you find the unit rate from a given total?

Back

To find the unit rate, divide the total amount by the number of units. For example, if 3 pounds of apples cost $3.60, the unit rate is $3.60 ÷ 3 = $1.20 per pound.

Front

What is the constant of proportionality?

Back

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

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

If a recipe calls for 3/4 cup of sugar for every 3 eggs, how many eggs are in 1 cup of sugar?

Back

4 eggs per cup.

Front

If 3 pounds of apples cost $3.60, how much do 5 pounds cost?

Back

$6.00 (Unit rate is $1.20 per pound, so 5 pounds = 5 x $1.20 = $6.00).

Front

What is the formula to find the constant of proportionality?

Back

The formula is k = y/x, where y is the dependent variable and x is the independent variable.

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the two quantities is not constant.

Front

How do you convert a ratio to a unit rate?

Back

To convert a ratio to a unit rate, divide both terms of the ratio by the second term.