Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or cost per item.

Front

How do you calculate the unit rate from a total amount and a total time?

Back

To calculate the unit rate, divide the total amount by the total time. For example, if you earned $300 in 6 hours, the unit rate is $300 ÷ 6 = $50 per hour.

Front

If a person earns $45 for 6 hours of work, what is their hourly wage?

Back

To find the hourly wage, divide the total earnings by the total hours worked: $45 ÷ 6 = $7.50 per hour.

Front

How do you find the cost of a different quantity of items when given the cost for a specific quantity?

Back

To find the cost of a different quantity, first determine the unit price by dividing the total cost by the number of items, then multiply the unit price by the new quantity.

Front

What is the unit rate of downloading 1,680 kilobytes in 4 minutes?

Back

The unit rate is calculated by dividing the total kilobytes by the total minutes: 1,680 kb ÷ 4 min = 420 kb per minute.

Front

If apples are sold at 4 for $2.40, what is the cost of one apple?

Back

To find the cost of one apple, divide the total cost by the number of apples: $2.40 ÷ 4 = $0.60 per apple.

Front

How do you calculate the total cost for a different number of apples if you know the cost for a specific quantity?

Back

Multiply the cost of one apple by the number of apples you want to buy. For example, if one apple costs $0.60, then 6 apples cost $0.60 × 6 = $3.60.

Front

What is the unit rate for typing speed if Larry can type 225 words in 3 minutes?

Back

The unit rate is calculated by dividing the total words by the total minutes: 225 words ÷ 3 min = 75 words per minute.

Front

How many words can Larry type in 10 minutes if he types at a rate of 75 words per minute?

Back

To find the total words typed in 10 minutes, multiply the typing rate by the time: 75 words/min × 10 min = 750 words.

Front

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

Back

Unit rates help compare different quantities and make informed decisions, such as determining the best price for products or understanding speeds and efficiencies.