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Using Equivalent Ratios EXAMPLE 1 Sports A person burned about 210 calories while in-line skating for 30 minutes. About how many calories would the person.

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Presentation on theme: "Using Equivalent Ratios EXAMPLE 1 Sports A person burned about 210 calories while in-line skating for 30 minutes. About how many calories would the person."— Presentation transcript:

1 Using Equivalent Ratios EXAMPLE 1 Sports A person burned about 210 calories while in-line skating for 30 minutes. About how many calories would the person burn while in-line skating for 60 minutes? In example 1, you will use a proportion to answer this question.

2 EXAMPLE 1 Find the number C of calories the person discussed would burn while in-line skating for 60 minutes by solving the proportion 210 30 c 60 = SOLUTION STEP 1 Ask yourself: What number can you multiply 30 by to get 60? 210 30 c 60 = Using Equivalent Ratios

3 EXAMPLE 1 STEP 2 Because multiply the numerator by 2 to find C. 30 2 = 60 210 30 c 60 = ANSWER Because 210 2 = 420, C = 420. So, the person would burn about 420 calories while in-line skating for 60 minutes. Using Equivalent Ratios

4 Solving Proportions Using Algebra EXAMPLE 2 Solve the proportion 6 10 x 25 = 6 10 x 25 = Write original proportion. x 25 6 10 = 25 Multiply each side by 25. 150 10 = x 15 = x Simplify fraction. Simplify. ANSWER The solution is 15.

5 Use equivalent ratios to solve the proportion. GUIDED PRACTICE for Examples 1 and 2 1 5 z 20 = 1. ANSWER 4 8 3 k 18 = 2. ANSWER 48 27 c 9 12 = 3. ANSWER 36 9 n 99 22 = 4. ANSWER 2

6 GUIDED PRACTICE for Examples 1 and 2 4 14 m 49 = 5. Use algebra to solve the proportion. ANSWER 14 25 30 x 12 = 6. ANSWER 10 h 33 2 6 = 7. ANSWER 11 b 8 7 28 = 8. ANSWER 2

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