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Applications of Proportions

Applications of Proportions. Sections 2-6 & 2-7. Inventory Management & Prediction. The ratio of defective light bulbs produced to total light bulbs produced is 3:500. How many light bulbs are expected to be defective if 12,000 are produced?.

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Applications of Proportions

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  1. Applications of Proportions Sections 2-6 & 2-7

  2. Inventory Management & Prediction The ratio of defective light bulbs produced to total light bulbs produced is 3:500. How many light bulbs are expected to be defective if 12,000 are produced? Let d represent the unknown number of defective bulbs produced. = defective 3 d 12000 total 500 500 d = 12000 · 3 Cross multiply to solve for d. ÷ 500 ÷ 500 = d 72

  3. Similar Shapes and Indirect Measurement Archy built a small garden in the shape of a triangle whose sides are in the ration 3:4:5. If the perimeter of the garden is 60 feet, what is the length of the shortest side? Definitions: Similar Shapes are figures that have the same shape, but not necessarily the same size. Corresponding sides of two figures are in the same relative position. Corresponding angles of two figures are in the same relative position. Two figures are similar if and only if the length of the corresponding sides are proportional and all pairs of corresponding angles have equal measures. Corresponding Sides Corresponding Sides Corresponding Sides Corresponding angles Corresponding angles Corresponding angles

  4. Similar Shapes and Indirect Measurement Archy built a small garden in the shape of a triangle whose sides are in the ratio 3:4:5. If the perimeter of the garden is 60 feet, what is the length of the shortest side? Similar shape Actual garden 5 4 Perimeter = 12 Perimeter = 60 60 12 perimeter 3 shortest side s 3 s Let s represent the unknown length of the shortest side. = Cross multiply to solve for s. = 12 ·s 180 ÷ 12 ÷ 12 = 15 s

  5. Computing Tax and Tips with percents: Samantha bought a meal at Wendy’s. The cost of the meal was $7.95, if the tax rate is 8%, what was the total amount of the bill? Let t represent the unknown amount of tax on the meal. = part 8 t whole 7.95 100 8% written as a fraction Cross multiply to solve for t. 63.6 = 100 · t ÷ 100 ÷ 100 The amount of tax is about $0.64 = t 0.636 The total cost of the meal is $7.95 + $0.64 = $8.58

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