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Bell Work

150 miles. 3. . 1. . ? miles. $ 12. $ ?. =. =. 1 day. 1 week. 1 hours. 1 minute. 1050 mi. $.20. ANSWER. ANSWER. 2 pints. 320 calories. ? calories. 1 person. 2. 4. ? cups. =. =. 1 cup. 1 fluid ounce. 1 person. 4 c. 40 cal. ANSWER. ANSWER. Bell Work.

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Bell Work

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  1. 150 miles 3. 1. ? miles $ 12 $ ? = = 1 day 1 week 1 hours 1 minute 1050 mi $.20 ANSWER ANSWER 2 pints 320 calories ? calories 1 person 2. 4. ? cups = = 1 cup 1 fluid ounce 1 person 4 c 40 cal ANSWER ANSWER Bell Work Write the equivalent rate. Hint: 1 pint = 2 cups Hint: 1 cup = 8 fluid ounces

  2. Scale Drawings

  3. b 49.6 = 1.8 14.4 14.4b = 1.8(49.6) 14.4b = 89.28 89.28 14.4 = b 14.4 89.28 b = 6.2 Review Solve the proportion. Then check your solution. Cross products property Multiply. Divide each side by 14.4.

  4. 72 bundles ANSWER ANSWER 75 mi ANSWER 225 min Review Use the cross products property to solve the proportion. A man rides his bike at a constant speed for 2 hours and travels 30 miles. If he were to continue riding at the same constant speed, how many miles would he travel in 5 hours? A teacher can grade 4 tests in 25 minutes. At this rate, how long will it take her to grade 36 tests? If three bundles of shingles cover 75 square feet of a roof, how many bundles will it take to cover a roof that is 1800 square feet?

  5. Scale Drawing • A scale drawing represents something that is too large or too small to be drawn at its actual size. • Maps and blueprints are examples of scale drawings.

  6. Scale • In math, scale shows the relationship between two things as well. • With maps, it is usually between a distance measured on the map and the actual distance on the ground.

  7. A scale drawing is a diagram of an object in which the dimensions are in proportion to the actual dimension of the object. The scale on a scale drawing tells how the drawing’s dimensions and the actual dimensions are related. The scale “1 in. : 12 ft.” means that for every 1 inch you have 12 feet.

  8. centimeters = On the map, the distance between China and New Sweden is 4.5 centimeters. Use the map of Maine to find the distance between the towns of China and New Sweden. Write and solve a proportion to find the distance between the towns. kilometers 65 x 4.5 1d= ANSWER The actual distance between China and New Sweden is about 292.5kilometers. 1 4.5 65 d Using the Scale of a Map SOLUTION d = 292.5

  9. ANSWER The actual distance between Paris and Marshfield is about 250 kilometers. 3.85 centimeters = d 1 kilometers 65 1d= 3.85 x 65 Use the map to find the distance (in kilometers) between Paris and Marshfield. On the map the distance between Paris and Marshfield is 3.85 centimeters. Write and solve a proportion to find the distance d between the towns. SOLUTION d = 250.25

  10. You Try: The scale on a map is 1 cm : 12 km. Find the actual distance in kilometers for the given length on the map. 4 cm x = 12 x 4; 48 km = 7.25 cm X = 12 x 7.25; 87 km = 6 cm X = 12 x 6 ; 72 km =

  11. Scale Drawings Strawberry Point, Iowa, has a strawberry sculpture that is 15 feet tall. If the scale of this model is 10 feet to 1 inch. How tall was the original strawberry?

  12. ANSWER The original strawberry was 1.5 inches Solution H = 1.5 inches

  13. Finding a Dimension on a Scale Model h scale model = 85 There is a scale model of the White House in Tobu World Square in Japan. The scale used for the model is 1 : 25. The height of the main building of the White House is 85 feet. Find this height on the model. building 1 x 85 = 25 h ANSWER The height of the main building of the model is 3.4 feet. 1 25 SOLUTION Cross products property 3.4 = h Divide each side by 25.

  14. ANSWER The height of Eiffel Tower is about 300 m. 12 scale model = h 1 Eiffel Tower 25 1h= 25 x 12 The model of the Eiffel Tower in Paris is 12 meters high. Use the scale factor of 1 : 25in to estimate the height of the actual Eiffel Tower. SOLUTION Cross products property h = 300

  15. You try: Models of buildings in Detroit, Michigan were created by using a scale of 1 in. : 50 ft. Find the height of the model in inches for the given height of the building. Marriott Hotel: 725 ft. = 14.5 inches Book Tower: 472 ft. = 9.44 inches

  16. Practice: Scale Drawing Worksheet

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