Unit Rates and Comparing 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 expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit price of an item?

Back

To calculate the unit price, divide the total cost of the item by the number of units. For example, if 3 candy bars cost $8.21, the unit price is $8.21 ÷ 3 = $2.73 per candy bar.

Front

If a bag contains 75 pieces of candy and weighs 15 oz, how do you find the pieces per ounce?

Back

To find pieces per ounce, divide the total number of pieces by the total weight in ounces. Here, 75 pieces ÷ 15 oz = 5 pieces per ounce.

Front

What is the formula to find the rate of work done per hour?

Back

The rate of work done per hour can be calculated by dividing the total amount of work by the total time taken. For example, if Henry writes 5 ¼ pages in 3 hours, the rate is (5.25 pages ÷ 3 hours) = 1.75 pages per hour.

Front

How do you determine the cost per item when given the total cost and quantity?

Back

To determine the cost per item, divide the total cost by the number of items. For example, if 7 apples cost $4.55, the cost per apple is $4.55 ÷ 7 = $0.65.

Front

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

Back

Unit rates help compare prices, speeds, and other quantities in everyday life, making it easier to make informed decisions.

Front

If Richard can fertilize 4,485 square feet in 3/4 hour, how do you find the square feet per hour?

Back

To find square feet per hour, first convert 3/4 hour to a decimal (0.75 hours), then divide the total area by the time: 4,485 sq ft ÷ 0.75 hours = 5,980 sq ft per hour.

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, making them easier to understand and use.

Front

How can you use unit rates to compare prices of different products?

Back

By calculating the unit price of each product, you can easily compare which product offers a better value for the same quantity.

Front

What is the unit rate of speed if a car travels 150 miles in 3 hours?

Back

To find the unit rate of speed, divide the distance by the time: 150 miles ÷ 3 hours = 50 miles per hour.