Rates and Unit rates

Rate A rate is a ratio that compares quantities measured in different units. Examples: MPH (miles per hour) $/LB (dollars per pound) A unit rate is the rate for one unit of a given quantity. When a unit rate is written as a fraction, the denominator is one unit. The / in a unit rate is read as “per”.

Rate If a car travels 120 miles on 4 gallons of gasoline, then the rate is The unit rate is or 30 miles per gallon. 120 miles ________ 4 gallons _______ 30 miles 1 gallon

An airplane on autopilot took 8 hours to travel 5,616 kilometers An airplane on autopilot took 8 hours to travel 5,616 kilometers. What is the unit rate for kilometers per hour? ________ kilometers hour

A contractor purchases 3 dozen pairs of padded work gloves for $40. 68 A contractor purchases 3 dozen pairs of padded work gloves for $40.68. He incorrectly calculates the unit price as $13.56 per pair for the expense report. What is the correct unit price? What is the error? $1.13 per pair. The contractor found the price per dozen, not price per glove. There are 36 total gloves.

rate A lobster molts, or sheds its shell, 20 times over a period of 5 years. How many times per year does the lobster molt?

A unit price is a unit rate that gives the price of one item, or the price per item.

Unit Price Unit price for pack of 15 is $3.15 per t-shirt. Your class is tie-dying T-shirts to sell for a fundraiser. You are in charge of buying the plain T-shirts. Which package is the best buy? Which package is the worst buy? Unit price for pack of 15 is $3.15 per t-shirt. Unit price for pack of 12 is $3.25 per t-shirt. Unit price for pack of 8 is $3.40 per t-shirt. Unit price for pack of 10 is $2.99 per t-shirt. BEST BUY—10 for $29.90 WORST BUY—8 for $27.20

Unit Price 2 fl oz is $1.98 per ounce 4 fl oz is $2.09 per ounce You also need to buy dye for the tie-dying activity. You can buy the dye in various sizes. Which is the best buy? 2 fl oz for $3.96 4 fl oz for $8.36 8 fl oz for $14.24 16 fl oz for $28.96 2 fl oz is $1.98 per ounce 4 fl oz is $2.09 per ounce 8 fl oz is $1.78 per ounce 16 fl oz is $1.81 per ounce The 8 fl oz bottle is the best buy.

Word problems A water pump moves 330 gallons of water in 22 minutes. How many gallons of water does the pump move in 39 minutes? 585 gallons in 39 minutes A satellite travels about 2,272 miles in 8 minutes. About how many miles does the satellite travel in 3 minutes? 852 miles in 3 minutes

homework Rates and Unit Rates Worksheet