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6. 2 Rates Chapter 6 Ratio, Proportion, and Line/Angle/Triangle Relationships Copyright © 2010 Pearson

$6. 2 Rates Objectives 1. Write rates as fractions. 2. Find unit rates. 3.$

$Objective 1: Write rates as fractions. n n n A rate is comparison of$

$Objective 1: Write rates as fractions. Example Write each rate as a fraction. (a)$

Objective 2: Find unit rates. n When the denominator of a rate is 1,

Objective 2: Find unit rates. Example Write 337. 5 miles on 13. 5 gallons

Objective 2: Find unit rates. Example Write 549 miles in 18 hours as a

Objective 2: Find unit rates. Example Write $810 in 6 days as a unit

Objective 3: Find the best buy based on cost per unit. Copyright © 2010

Objective 3: Find the best buy based on cost per unit. Example The local

Objective 3: Find the best buy based on cost per unit. Example (continued) The

Objective 3: Find the best buy based on cost per unit. Example Which of

Objective 3: Find the best buy based on cost per unit. Example (continued) To

Objective 3: Find the best buy based on cost per unit. Example Suppose you

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$6. 2 Rates Objectives 1. Write rates as fractions. 2. Find unit rates. 3.$

$Objective 1: Write rates as fractions. n n n A rate is comparison of$

Objective 1: Write rates as fractions. n n n A rate is comparison of measurements with different types of units. If you hike 18 miles in 4 hours, this can be expressed as a rate. In a rate, you often find one of these words separating the quantities you are comparing. in for on per from Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 4

$Objective 1: Write rates as fractions. Example Write each rate as a fraction. (a)$

Objective 1: Write rates as fractions. Example Write each rate as a fraction. (a) 5 gallons of chemical for $60 (b) $1500 wages in 10 weeks (c) 2225 miles on 75 gallons of gas Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 5

Objective 2: Find unit rates. n When the denominator of a rate is 1, it is called a unit rate. If you earn $12. 75 for 1 hour of work, this can be expressed as a unit rate. $12. 75 per hour or $12. 75/hour n Use per or a / mark when writing unit rates. n Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 6

Objective 2: Find unit rates. Example Write 337. 5 miles on 13. 5 gallons of gas as a unit rate. The unit rate is 25 miles per gallon or 25 miles/gallon. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 7

Objective 2: Find unit rates. Example Write 549 miles in 18 hours as a unit rate. The unit rate is 30. 5 miles per hour or 30. 5 miles/hour. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 8

Objective 3: Find the best buy based on cost per unit. Example The local store charges the following prices for pancake syrup. Find the best buy. The best buy is the container with lowest cost per ounce. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 11

Objective 3: Find the best buy based on cost per unit. Example Which of the choices of laundry detergent shown below is the best buy? Find cost per unit for each detergent. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 13

Objective 3: Find the best buy based on cost per unit. Example (continued) To find Sudzy’s unit cost, divide $3. 99 by 64 ounces, not 50 ounces. You’re getting as many clothes washed as if you bought 64 ounces. To find White-O’s unit cost, divide $9. 89 by 256 ounces (twice 128 ounces, or 2 × 128 = 256 ounces). Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 14

Objective 3: Find the best buy based on cost per unit. Example Suppose you are looking at these choices for “extra-strength” pain reliever. Both brands have the same amount of pain reliever in each tablet. Brand X is $2. 29 for 50 tablets Brand Y is $10. 75 for 200 tablets You have a 40¢ coupon for Brand X and a 75¢ coupon for Brand Y. Which is the better buy? First subtract the coupon, then divide to find the cost per unit. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 6. 2 - 15