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2.7 solving proportions

2.7 solving proportions. Objective: 1. Solve problems using proportions. Ratio:. A comparison of two numbers, usually written as a fraction. Proportion:. --An equation stating that two ratios are equal. --(or two equal fractions). Where b ≠ 0 and d ≠ 0.

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2.7 solving proportions

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  1. 2.7 solving proportions Objective: 1. Solve problems using proportions

  2. Ratio: A comparison of two numbers, usually written as a fraction. Proportion: --An equation stating that two ratios are equal --(or two equal fractions) Where b ≠ 0 and d ≠ 0. What do you notice happens when you multiply the diagonals on the following proportion?

  3. Please solve for x in each of the following. 3 = x 5 20 7 = 49 X 56 4 = 10 7 x 3 (20) = 5(x) 7(56) = 49(x) 7(10) = 4(x) 17.5 = x 8 = x 12 = x

  4. solve for x 4 (x – 8) = 5(x + 3) 4x – 32 = 5x + 15 - 5x - 5x______ -1x – 32 = 15 + 32 +32 -1x = 47 -1x = 47 -1 -1 x = - 47

  5. Using a proportion to solve a problem. A portable media player has 2 gigabytes of storage and can hold about 500 songs. A similar but larger media player has 80 gigabytes of storage. About how many songs can the larger media player hold? A portable media player has 2 gigabytes of storage and can hold about 500 songs. A similar but larger media player has 80 gigabytes of storage. About how many songs can the larger media player hold? A portable media player has 2 gigabytes of storage and can hold about 500 songs. A similar but larger media player has 80 gigabytes of storage. About how many songs can the larger media player hold? A portable media player has 2 gigabytes of storage and can hold about 500 songs. A similar but larger media player has 80 gigabytes of storage. About how many songs can the larger media player hold? KnowNeed Plan KnowNeedPlan Know Need Plan Know Need Plan 2 gigabytes holds 500 songs The number of songs the larger player holds Write a proportion and solve. Larger player has 80 gigabytes The larger media player holds 20,000 songs 2x = 500(80) 2x = 40,000 2x = 40,000 2 2 x = 20,000

  6. homework • Pg 127: 10-40 evens, 51, 52 • Note: showing work is optional through 24, required past that.

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