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Proportion Graphing Activity

Proportion Graphing Activity. Monday, December 16, 2012. 5-4. Dimensional Analysis. Course 2. Problem of the Day The sum of four consecutive integers is 182. What are the four numbers?. 44, 45, 46, and 47. Proportional???. 6-4. Solving Equations Containing Percents. Course 2.

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Proportion Graphing Activity

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  1. Proportion Graphing Activity Monday, December 16, 2012

  2. 5-4 Dimensional Analysis Course 2 Problem of the Day The sum of four consecutive integers is 182. What are the four numbers? 44, 45, 46, and 47

  3. Proportional???

  4. 6-4 Solving Equations Containing Percents Course 2 Sloths may seem lazy, but their extremely slow movement helps to make them almost invisible to predators. Sloths sleep an average of 16.5 hours a day. To find out what percent of a 24-hour day 16.5 hours is, you can use a proportion or an equation.

  5. 6-4 Solving Equations Containing Percents Course 2 Proportion Method Equation Method n Part Part 16.5 = What percent of 24 is 16.5? Whole 24 Whole 100 n · 24 = 100 · 16.5 n · 24 = 16.5 24n = 1,650 n = 0.6875 n = 68.75 n = 68.75% Sloths spend about 69% of the day sleeping!

  6. 6-4 Solving Equations Containing Percents Course 2 Additional Example 1A: Using Proportions to Solve Problems with Percents Solve. A. 25 is what percent of 40? n 100 25 40 = Write a proportion. n · 40 = 100 · 25 Set the cross products equal. 40n = 2,500 Multiply. 40n 40 = 2,500 40 Divide each side by 40 to isolate the variable. n = 62.5 25 is 62.5% of 40.

  7. 6-4 Solving Equations Containing Percents Course 2 Additional Example 1B: Using Proportions to Solve Problems with Percents Solve. B. 15 is 25% of what number? 25 100 15 n = Write a proportion. n · 25 = 100 · 15 Set the cross products equal. 25n = 1,500 Multiply. Divide each side by 25 to isolate the variable. 25n 25 = 1,500 25 n = 60 15 is 25% of 60.

  8. 6-4 Solving Equations Containing Percents Course 2 Try This: Example 1A Solve. A. 10 is what percent of 50? n 100 10 50 = Write a proportion. n · 50 = 100 · 10 Set the cross products equal. 50n = 1,000 Multiply. 50n 50 = 1,000 50 Divide each side by 40 to isolate the variable. n = 20 10 is 20% of 50.

  9. 6-4 Solving Equations Containing Percents Course 2 Try This: Example 1B Solve. B. 8 is 40% of what number? 40 100 8 n = Write a proportion. n · 40 = 100 · 8 Set the cross products equal. 40n = 800 Multiply. Divide each side by 25 to isolate the variable. 40n 40 = 800 40 n = 20 8 is 40% of 20.

  10. 6-4 Solving Equations Containing Percents Course 2 Additional Example 2A: Using Equations to Solve Problems with Percents Solve. A. 35 is 28% of what number? 35 = 28% · n Write an equation. 35 = 0.28 · n Write 28% as a decimal. 35 0.28 0.28 · n 0.28 Divide each side by 0.28 to isolate the variable. = 125 = n 35 is 28% of 125.

  11. 6-4 Solving Equations Containing Percents Course 2 Additional Example 2B: Using Equations to Solve Problems with Percents Solve. B. 18 is what percent of 9? 18 = n · 9 Write an equation. 18 9 n · 9 9 Divide each side by 9 to isolate the variable. = 2 = n Write the decimal as a percent. 200% = n 18 is 200% of 9.

  12. 6-4 Solving Equations Containing Percents 36 0.24 0.24 · n 0.24 = Course 2 Try This: Example 2A Solve. A. 36 is 24% of what number? 36 = 24% · n Write an equation. 36 = 0.24 · n Write 24% as a decimal. Divide each side by 0.24 to isolate the variable. 150 = n 36 is 24% of 150.

  13. 6-4 Solving Equations Containing Percents Course 2 Try This: Example 2B Solve. B. 36 is what percent of 6? 36 = n · 6 Write an equation. 36 6 n · 6 6 Divide each side by 6 to isolate the variable. = 6 = n Write the decimal as a percent. 600% = n 36 is 600% of 6.

  14. 6-4 Solving Equations Containing Percents Course 2 Additional Example 3: Social Studies Application Workers in Canada earn 10 vacation days, and workers in Finland earn 30 vacation days. What percent of the vacation days that workers in Canada earn do workers in Finland earn? Restate the question: What percent of 10 is 30? n · 10 = 30 Write an equation. n · 10 10 30 10 Divide each side by 10 to isolate the variable. = n = 3.0 n = 300 Write the decimal as a percent. Workers in Finland earn 300% of the number of vacation days that workers in Canada earn.

  15. 6-4 Solving Equations Containing Percents Course 2 Try This: Example 3 Workers in Canada earn 10 vacation days, and workers in Britain earn 20 vacation days. What percent of the vacation days that workers in Canada earn do workers in Britain earn? Restate the question: What percent of 10 is 20? n · 10 = 20 Write an equation. n · 10 10 20 10 Divide each side by 10 to isolate the variable. = n = 2.0 Write the decimal as a percent. n = 200 Workers in Britain earn 200% of the number of vacation days that workers in Canada earn.

  16. 6-4 Solving Equations Containing Percents Course 2 Insert Lesson Title Here Lesson Quiz 1. 21 is 42% of what number? 2. 73 is what percent of 292? 3. 112% of what number is 84? 4. 13.4 is what percent of 1340? 5. An ad shows a DVD player on sale for 75% of its original price. If its original price was $242, what is the sale price? 50 25% 75 1% $181.50

  17. Homework

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