Rate / Unit Rate

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is 1. It tells you how much of one quantity corresponds to one unit of another quantity.

Front

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

Back

To find the cost per item, divide the total cost by the number of items. For example, if 9 tickets cost $279, the cost per ticket is $279 ÷ 9 = $31.

Front

If a store has 120 customers in 8 hours, how do you calculate the unit rate of customers per hour?

Back

To find the unit rate, divide the total number of customers by the total hours. Here, 120 customers ÷ 8 hours = 15 customers per hour.

Front

How do you determine the number of pages read per day if a person reads a total number of pages over several days?

Back

Divide the total number of pages by the number of days. For example, if Kiontre reads 100 pages in 5 days, he reads 100 ÷ 5 = 20 pages per day.

Front

What is the formula to calculate words typed per minute?

Back

To find words typed per minute, divide the total number of words by the total minutes. For example, if Antonia types 408 words in 4 minutes, she types 408 ÷ 4 = 102 words per minute.

Front

If Analissa puts 55 seeds into 11 pots, how do you find the number of seeds per pot?

Back

Divide the total number of seeds by the number of pots. Here, 55 seeds ÷ 11 pots = 5 seeds per pot.

Front

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

Back

Unit rates help compare different quantities in a standardized way, making it easier to understand costs, speeds, and other measurements.

Front

How can you express a rate as a fraction?

Back

A rate can be expressed as a fraction by placing one quantity in the numerator and the other in the denominator. For example, if a car travels 60 miles in 2 hours, the rate is 60 miles/2 hours.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two different units, while ratios can compare any two quantities, regardless of their units.