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5-2. Rates. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 5-2. Rates. Course 2. Warm Up Divide. 1. 14 ÷ 1.75 2. 34 ÷ 0.17 3. 5.25 ÷ 1.5 4. 8.1 ÷ 2.7. 8. 200. 3.5. 3. 5-2. Rates. Course 2. Problem of the Day

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5-2

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  1. 5-2 Rates Course 2 Warm Up Problem of the Day Lesson Presentation

  2. 5-2 Rates Course 2 Warm Up Divide. 1. 14 ÷ 1.75 2. 34 ÷ 0.17 3. 5.25 ÷ 1.5 4. 8.1 ÷ 2.7 8 200 3.5 3

  3. 5-2 Rates Course 2 Problem of the Day A number rounded to the nearest tenth is 5.3. Round to the nearest hundredth, it is 5.28. What could the number be? Possible answer: 5.279

  4. 5-2 Rates Course 2 Learn to find units and compare unit rates, such as average speed and unit price.

  5. 5-2 Rates Course 2 Insert Lesson Title Here Vocabulary rate unit rate

  6. 5-2 Rates Course 2 A rate is a ratio that compares two quantities measured in different units. A unit rate is a rate whose denominator is 1. To change a rate to a unit rate, divide both the numerator and denominator by the denominator.

  7. 5-2 Rates Course 2 Additional Example 1A: Finding Unit Rates Find the rate. A Ferris wheel revolves 35 times in 105 minutes. How many minutes does 1 revolution take? Write a rate that compares minutes and revolutions. 105 minutes 35 revolutions Divide the numerator and denominator by 35. 105 minutes ÷ 35 35 revolutions ÷ 35 3 minutes 1 revolution Simplify. The Ferris wheel revolves 1 time in 3 minutes.

  8. 5-2 Rates Course 2 Additional Example 1B: Finding Unit Rates Find the rate. Sue walks 6 yards and passes 24 security lights set along the sidewalk. How many security lights does she pass in 1 yard? Write a rate that compares security lights and yards. 24 lights 6 yards Divide the numerator and denominator by 6. 24 lights ÷ 6 6 yards ÷ 6 4 lights 1 yard Simplify. Sue passes 4 security lights in 1 yard.

  9. 5-2 Rates Course 2 Check It Out: Example 1A Find the rate. A dog walks 696 steps in 12 minutes. How many steps does the dog take in 1 minute? Write a rate that compares steps and minutes. 696 steps 12 minutes Divide the numerator and denominator by 12. 696 steps ÷ 12 12 minutes ÷ 12 58 steps 1 minute Simplify. The dog walks 58 steps per minute.

  10. 5-2 Rates Course 2 Check It Out: Example 1B Find the rate. To make 12 smoothies, Henry needs 30 cups of ice. How many cups of ice does he need for one smoothie? Write a rate that compares cups of ice and smoothies. 30 cups of ice 12 smoothies Divide the numerator and denominator by 12. 30 cups of ice ÷ 12 12 smoothies ÷ 12 2.5 cups of ice 1 smoothie Simplify. Henry needs 2.5 cups of ice per smoothie.

  11. 5-2 Rates Course 2 An average rate of speed is the ratio of distance traveled to time. The ratio is a rate because the units in the numerator and denominator are different.

  12. 5-2 Rates Course 2 Additional Example 2: Finding Average Speed Danielle is cycling 68 miles as a fundraising commitment. She wants to complete her ride in 4 hours. What should be her average speed in miles per hour? 68 miles 4 hours Write the rate as a fraction. 68 miles ÷ 4 4 hours ÷ 4 Divide the numerator and denominator by the denominator 17 miles 1 hour = Danielle’s average speed should be 17 miles per hour.

  13. 5-2 Rates Course 2 Check It Out: Example 2 Rhett is a pilot and needs to fly 1191 miles to the next city. He wants to complete his flight in 3 hours. What should be his average speed in miles per hour? 1191 miles 3 hours Write the rate as a fraction. Divide the numerator and denominator by the denominator 1191 miles ÷ 3 3 hours ÷ 3 397 miles 1 hour = Rhett’s average speed should be 397 miles per hour.

  14. 5-2 Rates Course 2 A unit price is the price of one unit of an item. The unit used depends on how the item is sold. The table shows some examples.

  15. 5-2 Rates Course 2 Additional Example 3: Consumer Math Application A 12-ounce sports drink costs $0.99, and a 16-ounce sports drink costs $1.19. Which size is the best buy? Divide the price by the number of ounces (oz) to find the unit price of each size. $0.99 12 oz $1.19 16 oz $0.08 oz $0.07 oz ≈ ≈ Since $0.07 < $0.08, the 16 oz sports drink is the best buy.

  16. 5-2 Rates Course 2 Check It Out: Example 3 A 1.5 gallon container of milk costs $4.02, and a 3.5 gallon container of milk costs $8.75. Which size is the best buy? Divide the price by the number of grams (g) to find the unit price of each size. $4.02 1.5 gal $8.75 3.5 gal $2.68 gal $2.50 g = = Since $2.50 < $2.68, the 3.5 gallon container is the best buy.

  17. 5-2 Rates Course 2 Insert Lesson Title Here Lesson Quiz: Part I 1. Ian earned $96 babysitting for 12 hours. How much did he earn each hour? 2. It takes Mia 49 minutes to complete 14 homework problems. On average, how long did it take to solve each problem? 3. Seth’s family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours. What should their average speed be in miles per hour? $8 3.5 minutes 55

  18. 5-2 Rates Course 2 Insert Lesson Title Here Lesson Quiz: Part II 4. Abby can buy a 7-pound bag of dry cat food for $7.40, or she can purchase a 3-pound bag for $5.38. Which size is the best buy? 7 lb bag

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