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Pre-Algebra Rates and Unit Prices 1 What Are You Learning? I CAN find unit rate and unit price. 2 Why Do You Need To Know This? Rates are important because they are used to compare quantities with different units. Rates can be used in a variety of ways and can be found many places in the real world. 3 Vocabulary Rate—Ratio that compares quantities with different kinds of units. Unit Rate—Rate with a denominator of 1. 4 Ratio Unit Rate Abbreviation Name # of miles/1hour Miles per hour Mi/h or mph Speed # of miles/1 gallon Miles per gallon Mi/gal or mpg Gas Mileage # of dollars/1 pound Price per Pound Dollars/lb Unit Price # of dollars/1 hour Dollars per hour Hourly Wage Dollars/h 5 Notes To find unit rate, you divide by the denominator. 6 Find each unit rate. Round to the nearest hundredth if necessary. a. 300 tickets in 6 days b. 220 miles in 8 gallons c. 228 feet in 24 seconds d. 440 miles in 8 hours 7 How Much Does It Cost? Find the unit price per orange if it costs $2 for 6 oranges. Find the unit price per can if it costs $3 for 6 cans of soda. 8 Let’s Go Shopping!! You can buy a package of 100 index cards for $2.70, or 50 cards for $1.30, or 25 cards for $.75. Which price? size has the lowest unit 9 Dish Detergent Prices The table shows the various sizes and prices of dish detergent. Which size is the better buy? Size Volume Mini 12 $1.20 Family 28 $2.24 Economy 40 $3.60 (fl oz) Price 10 Let’s Go Shopping! The costs of different sizes of peanut butter are shown below. Which jar costs the least per ounce? Size Price 12 oz $2.49 40 oz $5.30 80 oz $10.89 11 Let’s Go Shopping! The costs of different sizes of orange juice are shown below. Which container costs the least per ounce? Size Volume (fl 16 oz $1.28 32 oz $1.92 64 oz $2.56 96 oz $3.36 oz) 12 Write each ratio as a fraction in simplest form. a. 9 hours to 3 days b. 18 weeks:1 year c. 45 minutes to 2 hours d. 2 feet to 10 inches e. $9/hour to ¢/min 13 Find each unit rate. a. 10 miles/hour to feet per minute. b. 3.5 quart/min to gallon/hour c. 720 meter/day to meter/min. d. 80 miles/hour to feet/second 14 Class Work Versatile sheet 18 and 19 15