Unit Rates and Proportionality Problems

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

What does proportionality mean in mathematics?

Back

Proportionality refers to a relationship between two quantities where their ratio remains constant. If one quantity increases, the other quantity increases in a consistent manner.

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide the value of y by the value of x for any pair of corresponding values in the table. The result will be the same for all pairs.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a straight line, indicating a constant ratio between the x and y values.

Front

How do you express a unit rate from a recipe?

Back

To express a unit rate from a recipe, divide the quantity of one ingredient by the quantity of another ingredient. For example, if a recipe uses 3/4 cup of sugar for 3 eggs, the unit rate is 1/4 cup of sugar per egg.

Front

What is the unit rate of 60 miles in 2 hours?

Back

The unit rate is 30 miles per hour.

Front

If the equation is y = 1/4x, what is the constant of proportionality?

Back

The constant of proportionality is 1/4.

Front

What is the relationship between unit rates and ratios?

Back

Unit rates are a specific type of ratio that compares a quantity to one unit of another quantity.