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2. Lesson Menu Objectives Vocabulary Example 1 Example 2 Quick Quiz

3. Objectives To recognize rates presented in symbolic and graphic forms To develop strategies for comparing proportional and nonproportional relationships To represent proportional and nonproportional relationships in words, tables, symbols, and graphs To get hands-on experience with collecting data To determine the nature of the relationship between two variables To develop strategies for describing rates

4. Vocabulary linear relationship proportional rate

5. Example 1 POTATOES An assistant cook peeled 18 potatoes in 6 minutes. At this rate, how many potatoes can he peel in 50 minutes? Find the unit rate. Answer: The assistant cook can peel 150 potatoes in 50 minutes. Then multiply this unit rate by 50 to find the number of potatoes he can peel in 50 minutes.

6. 1.A 2.B 3.C 4.D Example 1 A.21 beads B.63 beads C.120 beads D.180 beads Sarah can paint 21 beads in 7 minutes. At this rate, how many beads can she paint in one hour?

7. Example 2 MATH Before dinner, Mohammed solved 8 math problems in 12 minutes. After dinner, he solved 2 problems in 3 minutes. Is the number of problems he solved proportional to the time? Method 1 Compare unit rates.

8. Example 2 Method 2 Compare ratios by comparing cross products. Answer: Since the cross products are equal, the number of math equations is proportional to the time in minutes. 24=24Multiply. ? 8 × 3 = 12 × 2Find the cross products. ?

9. 1.A 2.B Example 2 A.yes B.no Determine if the quantities $30 for 12 gallons of gasoline and $10 for 4 gallons of gasoline are proportional.

10. 1.A 2.B 3.C 4.D Quick Quiz 1a A. Determine the rate for y = 53x. A.5 × 3 B.10 C.53 D.53x

11. 1.A 2.B 3.C 4.D Quick Quiz 1b B. Determine the rate for y = 15 + 0.1x. A.15x B.0.1 C.15 D.0.1x

12. 1.A 2.B 3.C 4.D Quick Quiz 2 Which equation describes a proportional relationship? A.y = 2x B.y = 3x + 2 C.y = x + 5 D.y = 2x – 4

13. 1.A 2.B 3.C 4.D Quick Quiz 3 Which equation describes a nonproportional relationship? A.y = 4x B.y = 2x C.y = 3x D.y = 2x + 3

14. 1.A 2.B 3.C 4.D Quick Quiz 4 Select the graph that is proportional. A.B. C.D.

15. 1.A 2.B 3.C 4.D Quick Quiz 5 Caitlin works for a fresh-fish supplier. They offered a special price to restaurants for shrimp at $7 per pound. A local restaurant wanted a quote for the cost of enough shrimp for 40 shrimp cocktails. Each cocktail needs six shrimp. If six shrimp weighs 1 pound, what would the cost be for the amount of shrimp the restaurant requires? A.$280 B.$240 C.$40 D.$42

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17. Resources Image Bank Math Tools Multilingual e-Glossary Slope and Intercept

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