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Problem of the Day

7-2. Ratios, Rates, and Unit Rates. Course 3. Problem of the Day There are 3 bags of flour for every 2 bags of sugar in a freight truck. A bag of flour weighs 60 pounds, and a bag of sugar weighs 80 pounds. Which part of the truck’s cargo is heavier, the flour or the sugar?. flour. 7-2.

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Problem of the Day

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  1. 7-2 Ratios, Rates, and Unit Rates Course 3 Problem of the Day There are 3 bags of flour for every 2 bags of sugar in a freight truck. A bag of flour weighs 60 pounds, and a bag of sugar weighs 80 pounds. Which part of the truck’s cargo is heavier, the flour or the sugar? flour

  2. 7-2 Ratios, Rates, and Unit Rates Course 3 A ratio is a comparison of two quantities. A rate is a comparison of two quantities that have different units. 90 3 Ratio: Read as “90 miles per 3 hours.” 90 miles 3 hours Rate:

  3. 7-2 Ratios, Rates, and Unit Rates 90 3 The ratio can be simplified by dividing: Course 3 Unit rates are rates in which the second quantity is 1. 90 3 30 1 = 30 miles, 1 hour unit rate: or 30 mi/h

  4. 7-2 Ratios, Rates, and Unit Rates Course 3 Insert Lesson Title Here Additional Example 2: Using a Bar Graph to Determine Rates Use the bar graph to find the number of acres, to the nearest acre, destroyed in Nevada and Alaska per week. 640,000 acres 52 weeks Nevada = 12,308 acres 1 week 

  5. 7-2 Ratios, Rates, and Unit Rates Course 3 Insert Lesson Title Here Additional Example 2 Continued Use the bar graph to find the number of acres, to the nearest acre, destroyed in Nevada and Alaska per week. 750,000 acres 52 weeks Alaska = 14,423 acres 1 week 

  6. 7-2 Ratios, Rates, and Unit Rates Course 3 Unit price is a unit rate used to compare costs per item.

  7. 7-2 Ratios, Rates, and Unit Rates Course 3 Additional Example 3A: Finding Unit Prices to Compare Costs Pens can be purchased in a 5-pack for $1.95 or a 15-pack for $6.20. Which is the better buy? Divide the price by the number of pens. price for package number of pens $1.95 5 = $0.39  price for package number of pens $6.20 15 = $0.41  The better buy is the 5-pack for $1.95.

  8. 7-2 Ratios, Rates, and Unit Rates price for jar number of ounces price for jar number of ounces Course 3 Additional Example 3B: Finding Unit Prices to Compare Costs Jamie can buy a 15-oz jar peanut butter for $2.19 or a 20-oz jar for $2.78. Which is the better buy? Divide the price by the number of ounces. $2.19 15 = $0.15  $2.78 20 = $0.14  The better buy is the 20-oz jar for $2.78.

  9. 7-2 Ratios, Rates, and Unit Rates Course 3 Try This: Example 3A Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $18.95. Which is the better buy? Divide the price by the number of balls. price for package number of balls $4.95 3 = $1.65  price for package number of balls $18.95 12  = $1.58 The better buy is the 12-pack for $18.95.

  10. 7-2 Ratios, Rates, and Unit Rates Course 3 Insert Lesson Title Here Lesson Quiz 1. At a family golf outing, a father drove the ball 285 ft. His daughter drove the ball 95 ft. Express the ratio of the father’s distance to his daughter’s in simplest terms. 2. Find the unit price of 6 stamps for $2.22. 3. Find the unit rate of 8 heartbeats in 6 seconds. 4. What is the better buy, a half dozen carnations for $4.75 or a dozen for $9.24? 5. Which is the better buy, four pens for $5.16 or a ten-pack for $12.90? 3:1 $0.37 per stamp 1.3 beats/s a dozen They cost the same.

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