Main Idea and New Vocabulary Key Concept: Proportion

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Presentation transcript:

Main Idea and New Vocabulary Key Concept: Proportion Example 1: Write and Solve a Proportion Example 2: Make Predictions Example 3: Write and Use an Equation Lesson Menu

Use proportions to solve problems. equivalent ratios proportion cross products Main Idea/Vocabulary

Key Concept

Write and Solve a Proportion CLOTHING Melvin can decorate 8 T-shirts in 3 hours. Write and solve a proportion to find the time it will take him to decorate 20 T-shirts at this rate. Write a proportion. Let h represent the time in hours. 8  h = 3 ● 20 Find the cross products. 8h = 60 Multiply. Example 1

Write and Solve a Proportion Divide each side by 8. h = 7.5 Answer: It will take Melvin 7.5 hours to decorate 20 T-shirts. Example 1

JEWELRY Roxanne can make 5 bracelets in 2 hours JEWELRY Roxanne can make 5 bracelets in 2 hours. Write and solve a proportion to find the time it will take her to make 40 bracelets at this rate. A. B. C. D. Example 1 CYP

Write a proportion. Let c represent the cups of flour needed. Make Predictions COOKING A recipe serves 10 people and calls for 3 cups of flour. If you want to make the recipe for 15 people, how many cups of flour should you use? Write a proportion. Let c represent the cups of flour needed. Example 2

10  c = 3 ● 15 Find the cross products. 10c = 45 Multiply. Make Predictions 10  c = 3 ● 15 Find the cross products. 10c = 45 Multiply. Divide each side by 8. c = 4.5 Answer: You should use 4.5 cups of flour. Example 2

BIRDHOUSES Brooke needs to use 25 nails for every 5 birdhouses that she builds. How many nails will she need to make 8 birdhouses? A. 200 nails B. 40 nails C. 16 nails D. 1.6 nails Example 2 CYP

Write and Use an Equation FOOD Haley bought 4 pounds of tomatoes for $11.96. Write an equation relating the cost to the number of pounds of tomatoes. How much would Haley pay for 6 pounds at this same rate? for 10 pounds? Find the unit rate between cost and pounds of tomatoes. Example 3

Write and Use an Equation Find the cost of 6 pounds sold at the same rate. c = 2.99p Write the equation. c = 2.99(6) Replace p with 6. c = 17.94 Multiply. The cost for 6 pounds of tomatoes is $17.94. Example 3

Write and Use an Equation Find the cost of 10 pounds sold at the same rate. c = 2.99p Write the equation. c = 2.99(10) Replace p with 100. c = 29.90 Multiply. The cost for 10 pounds of tomatoes is $29.90. Answer: The cost for 6 pounds of tomatoes is $17.94 and the cost for 10 pounds is $29.90. Example 3

MOVIES Jeremy bought 5 movie tickets for $53. 75 MOVIES Jeremy bought 5 movie tickets for $53.75. Write an equation relating the cost to the number of tickets. How much would Haley pay for 7 movie tickets at this same rate? A. c = 5t; $38.39 B. c = 7.68; $75.25 C. c = 10.75t; $75.25 D. c = 48.75t; $341.25 Example 3 CYP