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Lesson 3 MI/Vocab

Use proportions to solve problems. equivalent ratios. proportion cross products constant of proportionality. Lesson 3 MI/Vocab. Interactive Lab: Solving Problems. Lesson 3 Key Concept 1. shirts. shirts. time. time. Write and Solve a Proportion.

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Lesson 3 MI/Vocab

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  1. Use proportions to solve problems. • equivalent ratios • proportion • cross products • constant of proportionality Lesson 3 MI/Vocab

  2. Interactive Lab:Solving Problems Lesson 3 Key Concept 1

  3. shirts shirts time time Write and Solve a Proportion CLOTHINGMelvin can decorate 8 t-shirts in 3 hours. At this rate, write and solve a proportion to find the time it will take him to decorate 20 t-shirts. Write a proportion. Let t represent the time in hours. Lesson 3 Ex1

  4. Write and Solve a Proportion Write the proportion. Find the cross products. Multiply. Divide each side by 8. Simplify. Answer:It will take Melvin 7.5 hours to decorate 20 t-shirts. Lesson 3 Ex1

  5. CLOTHING Adrian can decorate 5 t-shirts in 2 hours. At this rate, write and solve a proportion to find the time it will take her to decorate 18 t-shirts. • A • B • C • D A. 6.5 hours B. 7 hours C. 7.2 hours D. 7.6 hours Lesson 3 CYP1

  6. cups of flour cups of flour total people served total people served COOKINGA 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 number of cups of flour needed to serve 15 people. Lesson 3 Ex2

  7. Find the cross products. Multiply. Divide each side by 10. Simplify. Answer: You will need 4.5 cups of flour to make the recipe for 15 people. Lesson 3 Ex2

  8. COOKINGA recipe serves 12 people and calls for 5 cups of sugar. If you want to make the recipe for 18 people, how many cups of sugar should you use? • A • B • C • D A. 6.5 cups B. 6.7 cups C. 7.2 cups D. 7.5 cups Lesson 3 CYP2

  9. 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 constant of proportionality between cost and pounds. The cost is $2.99 per pound. Lesson 3 Ex3

  10. Write and Use an Equation The cost is $2.99 times the number of pounds. Words Let c represent the cost.Let p represent the number of pounds. Variable Equation c = 2.99 ● p Use this same equation to find the cost for 6 and 10 pounds of tomatoes sold at the same rate. Lesson 3 Ex3

  11. Write and Use an Equation Write the equation. Replace p with the number of pounds. Multiply. Answer:The cost for 6 pounds of tomatoes is $17.94 and for 10 pounds is $29.90. Lesson 3 Ex3

  12. FOOD Cameron bought 3 pounds of apples for $11.37. Write an equation relating the cost to the number of pounds of apples. How much would Cameron pay for 5 pounds at this same rate? • A • B • C • D A. $18.95 B. $19.20 C. $19.85 D. $20.15 Lesson 3 CYP3

  13. TEETH:For every 6 people who say they floss daily, there are 14 people who say they do not. Write and Solve a proportion to determine out of 50 people how many you would expect to say they do floss daily.

  14. ILLNESS:For every person who actually has the flu, there are 5 people who have the same symptoms but with only a cold. If a doctor sees 60 patients, write and solve a proportion to determine how many of these you would expect to only have a cold.

  15. PHOTOGRAPHY:It takes 3 minutes to print out 4 digital photos. Write an equation relating the number of photos, n, to the number of minutes, m. • At this rate, how long will it take to print 10 photos?

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