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Lesson 7 MI/Vocab

Solve problems involving scale drawings. scale drawing. scale model scale. Lesson 7 MI/Vocab. Use a Scale Drawing. MAPS Use the map to find the actual distance from Bingston to Alanton. Use an inch ruler to measure the map distance. The map distance is about 1.5 inches. Lesson 7 Ex1. map.

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Lesson 7 MI/Vocab

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  1. Solve problems involving scale drawings. • scale drawing • scale model • scale Lesson 7 MI/Vocab

  2. Use a Scale Drawing MAPSUse the map to find the actual distance from Bingston to Alanton. Use an inch ruler to measure the map distance. The map distance is about 1.5 inches. Lesson 7 Ex1

  3. map map actual actual Use a Scale Drawing Method 1 Write and solve a proportion. Find the cross products. Simplify. Method 2 Write and solve an equation. Lesson 7 Ex1

  4. Words Variable Equation Use a Scale Drawing The actual distance is 5 miles per inch of map distance. Let a represent the actual distance in miles.Let m represent the map distance in inches. a = 5 ● m a = 5m Write the equation. a = 5(1.5) or 7.5 Replace m with 1.5 and multiply. Answer: The actual distance from Bingston to Alanton is 7.5 miles. Lesson 7 Ex1

  5. MAPSUse the map to find the actual distance from Springfield to Capital City. The map distance is about 1.4 inches. • A • B • C • D A. 7.4 miles B. 8.5 miles C. 9.2 miles D. 9.8 miles Lesson 7 CYP1

  6. Find the Scale SCALE DRAWINGSA wall in a room is 15 feet long. On a scale drawing it is shown as 6 inches. What is the scale of the drawing? Write a ratio comparing the length of the drawing to the actual length of the room. Using x to represent the actual length of the room, write and solve a proportion to find the scale of the drawing. Lesson 7 Ex2

  7. Length of room Scale Drawing scale drawing length scale drawing length actual length actual length Find the Scale Find the crossproducts. Multiply. Then divide each side by 6. Simplify. Answer: So, the scale is 1 inch = 2.5 feet. Lesson 7 Ex2

  8. SCALE DRAWINGSThe length of a garage is 24 feet. On a scale drawing the length of the garage is 10 inches. What is the scale of the drawing? • A • B • C • D A. 1 inch = 2.1 feet B. 1 inch = 2.4 feet C. 1 foot = 2.1 inches D. 1 foot = 2.4 inches Lesson 7 CYP2

  9. The scale factor is or 1:30. This means that the drawing is the size of the actual room. Find the Scale Factor Find the scale factor for the drawing in Example 2. Convert 2.5 feet to inches. Lesson 7 Ex3

  10. Find the scale factor for the drawing of the garage in the previous Check Your Progress exercise. • A • B • C • D A. 1 : 22.5 B. 1 : 25.6 C. 1 : 28.8 D. 1 : 30.5 Lesson 7 CYP3

  11. Construct a Scale Model STATUE OF LIBERTYAuguste Bartholdi created several smaller models of the Statue of Liberty before creating the 152-foot statue that stands in New York Harbor. One such model was only 21 inches tall. What is the scale of this model to the final version? Use the scale to determine the length of the statue’s index finger on the model, which is 8 feet long on the actual statue. Lesson 7 Ex4

  12. model height actual height Construct a Scale Model Determine the scale of the model to the final version. Find the cross products. Multiply. Then divide each side by 21. Simplify. The scale of the model to the actual statue is 1 inch  7.2 feet. Lesson 7 Ex4

  13. model height actual height Construct a Scale Model Use this scale to find the length of the statue’s index finger on the model. Find the cross products. 1 ● 8 = 7.2 ● x Multiply. Then divide each side by 7.2. Simplify. Answer: The finger in the model is about 1.1 inches long. Lesson 7 Ex4

  14. STATUEMarnie created a model of her town’s statue of Jebediah Springfield. Her model was 6 inches high. The actual statue is 27 feet tall. What is the scale of this model to the actual statue? Use the scale to determine the length of the statue’s mustache on the model, which is 3 feet long on the actual statue. • A • B • C • D A. about 0.67 inch B. about 0.75 inch C. about 0.84 inch D. about 0.92 inch Lesson 7 CYP4

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