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DO NOW 12.9.13

On a Sunny Day, a person who is 6ft tall casts a 4ft shadow. This is proportional to the height of a nearby flagpole which casts a 16ft shadow. How tall is the flagpole?. DO NOW 12.9.13. × 4. × 4. 16 ft 4ft.

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DO NOW 12.9.13

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  1. On a Sunny Day, a person who is 6ft tall casts a 4ft shadow. This is proportional to the height of a nearby flagpole which casts a 16ft shadow. How tall is the flagpole? DO NOW 12.9.13 × 4 × 4 16 ft 4ft Answer: The flagpole casts a shadow that is 4 times larger than the person’s shadow. Therefore, the proportional flagpole has a height 4 times larger than a 6 ft person. The flagpole is 24 ft tall.

  2. A proportional relationship is a set of equivalent ratios. • Equivalent ratios have different values, but are in the same ratio. • To generate2 an equivalent ratio, multiplyor divideeach quantity in a ratio by the same value. = = What are some ways we can prove that these ratios are proportional? 2 2 2 4 3 3 6 3 4 4 2 2 Lowest term: Equivalent = = 3 6 3 6 Lowest term: Equivalent

  3. The length is 9 times larger than the height, therefore: X = (12)(9) or 108. × 9 × 9

  4. Based on number values only, which other problem on this page is similar? (3)(110) = (10)(x) 330 = 10x 10 10 33 = x

  5. The figures are in different orientations. X corresponds to _____? 1 The figures are in different orientations. X corresponds to _____? 3 The figures are in different orientations. X equals _____? 7

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