Rates and Unit Rates as comparisons - Adv

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 one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of items. For example, if 7 apples cost $4.55, the unit rate is $4.55 ÷ 7 = $0.65 per apple.

Front

What is the formula to calculate the unit rate?

Back

Unit Rate = Total Quantity / Number of Units.

Front

If a machine packs 70 boxes in 5 minutes, how many boxes does it pack in 1 minute?

Back

14 boxes per minute (70 boxes ÷ 5 minutes).

Front

How do you compare two rates to determine the better buy?

Back

To compare two rates, calculate the unit rate for each option and compare them. The option with the lower unit rate is the better buy.

Front

What is the unit rate of 12 ounces of corn for $1.92?

Back

$0.16 per ounce ($1.92 ÷ 12 ounces).

Front

If a car travels 160 miles in 4 hours, what is its speed in miles per hour?

Back

40 miles per hour (160 miles ÷ 4 hours).

Front

How do you calculate the total amount earned per job?

Back

To calculate the total amount earned per job, divide the total earnings by the number of jobs completed. For example, $96 ÷ 8 lawns = $12 per lawn.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is expressed by the formula: Distance = Rate × Time.