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Proportional Relationships and Unit Rates in Real-Life Scenarios

Learn how to identify proportional relationships and calculate unit rates through practical examples like driving trips and bulk purchases. Understand the concept in a simplified format.

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Proportional Relationships and Unit Rates in Real-Life Scenarios

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  1. A B C D I drive to Philly, a 300 mile trip, in 6 hours. What is my unit rate of speed, in simplest form. Bob wants to buy soda (not pop) for his party to cheer on the Flyers (that’s right not the Penguins) as they open the NHL season. The Giant Eagle has soda in 12 packs on sale for $3 each. They also sell soda in 24 packs at $6.50. Knowing you are going to need a lot of soda, which is the better buy? 5-Minute Check 6

  2. Splash Screen

  3. You have already used unit rates to convert measurements. (Lesson 6–3) • Identify proportional and nonproportional relationships in tables and graphs. • Describe a proportional relationship using an equation. Then/Now

  4. Proportional The ratios or rates of related terms are equal; example: • nonproportional The ratios or rates of related terms are not equal; example: Vocabulary

  5. Identify Proportional Relationships Determine whether the cost of baseballs is proportional to the number of baseballs. Explain your reasoning. Answer: No; the rates are not equal. Example 1

  6. Identify Proportional Relationships Determine whether the number of inches is proportional to the number of seconds. Explain your reasoning. Write the rate of time to distance for each second in simplest form. Answer: Yes; all the rates are equal. Example 2

  7. A B C D A. B. C. D.No, the rates are not equal. Determine whether the number of meters is proportional to the number of seconds. Explain your reasoning. Example 2

  8. A B C D A.Yes, all the rates are equal to B.Yes, all the rates are equal to C.Yes, all the rates are equal to D.No, the rates are not equal. Determine whether the set of numbers in the table are proportional. Explain your reasoning. Example 1

  9. End of the Lesson

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