Unit Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit of another quantity.

Front

How do you calculate the unit cost of an item?

Back

To calculate the unit cost, divide the total cost by the number of items. For example, if 15 pizzas cost $97.50, the unit cost per pizza is $97.50 ÷ 15 = $6.50.

Front

If a recipe calls for 3/4 cup of one ingredient for every 1/4 cup of another, how do you find the unit rate of the first ingredient per cup of the second?

Back

To find the unit rate, set up a proportion or use a double number line. In this case, 3/4 cup of wheat flour for every 1/4 cup of white flour means 3 cups of wheat flour for every 1 cup of white flour.

Front

What is the formula to find speed when distance and time are known?

Back

Speed = Distance ÷ Time. For example, if Ernie traveled 195 miles in 3 hours, his speed is 195 miles ÷ 3 hours = 65 miles per hour.

Front

How do you find the price per ticket when given the total cost and number of tickets?

Back

To find the price per ticket, divide the total cost by the number of tickets. For example, if 4 concert tickets cost $252, the price per ticket is $252 ÷ 4 = $63.

Front

What is the unit price of gas if the total cost to fill a tank is known?

Back

To find the unit price of gas, divide the total cost by the number of gallons. For example, if it costs $46.80 to fill a 13-gallon tank, the price per gallon is $46.80 ÷ 13 = $3.60.

Front

What does it mean to travel at a constant speed?

Back

Traveling at a constant speed means that the speed does not change over time. The distance covered is directly proportional to the time traveled.

Front

How can you express a ratio as a unit rate?

Back

To express a ratio as a unit rate, simplify the ratio to show how much of one quantity corresponds to one unit of another quantity.

Front

What is the significance of unit rates in real-life situations?

Back

Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions, such as finding the best deal.

Front

How do you convert a fraction to a unit rate?

Back

To convert a fraction to a unit rate, divide the numerator by the denominator and express it as a quantity per one unit.