Unit Rates and Comparing Unit Rates

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 4 apples cost $2, the unit rate is $0.50 per apple.

Front

How do you calculate the unit rate from a given quantity?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if 7 apples cost $4.55, the unit rate is $4.55 ÷ 7 = $0.65 per apple.

Front

If Kyle eats 1/2 of a pie in 1/5 of a minute, how do you find out how many pies he can eat in one minute?

Back

To find out how many pies Kyle can eat in one minute, first find the rate of pies per minute by taking the reciprocal of the time taken to eat half a pie and multiplying by 2. He can eat 2.5 pies per minute.

Front

What is the formula to find the cost per item?

Back

The formula to find the cost per item is: Cost per item = Total cost ÷ Number of items.

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 then express it in terms of one unit. For example, 1/2 liter every 2/3 hour means Ben drinks 3/4 liter per hour.

Front

What is the cost of one adult movie ticket if 20 tickets cost $250?

Back

To find the cost of one adult ticket, divide the total cost by the number of tickets: $250 ÷ 20 = $12.50.

Front

How do you find the rate of work done per hour?

Back

To find the rate of work done per hour, divide the total amount of work by the total time taken. For example, if Henry writes 5 ¼ pages in 3 hours, he writes 1.75 pages per hour.

Front

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

Back

Unit rates help compare prices, speeds, and efficiencies, making it easier to make informed decisions, such as finding the best deal or understanding consumption rates.

Front

How can you express a unit rate as a fraction?

Back

A unit rate can be expressed as a fraction where the numerator is the total quantity and the denominator is the number of units. For example, if 3 miles are traveled in 1 hour, the unit rate is 3 miles/1 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, while ratios can compare any two quantities.