Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you find the unit rate?

Back

Divide the total quantity by the number of units. For example, 405 rotations in 5 minutes gives a unit rate of 81 rotations per minute.

Front

What is the equation relating weight and number of blocks if each block weighs 28 pounds?

Back

28b = w, where b is the number of blocks and w is the total weight.

Front

If 2 tbsp of honey is needed for 5 cups of flour, how many tbsp are needed for 20 cups?

Back

16 tbsp of honey.

Front

What does it mean if a table represents a proportional relationship?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

What is a unit rate?

Back

A 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

If a recipe calls for 3 cups of sugar for 4 cups of flour, what is the unit rate of sugar per cup of flour?

Back

0.75 cups of sugar per cup of flour.

Front

What is the formula for finding a unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

How can you tell if two ratios are proportional?

Back

If the cross products of the ratios are equal, then the ratios are proportional.

Front

What is the constant of proportionality?

Back

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