Splash Screen Lesson 2 Contents Objective #1: Solve Proportions Example 1Identify Proportions...
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Transcript of Splash Screen Lesson 2 Contents Objective #1: Solve Proportions Example 1Identify Proportions...
Objective #1: Solve Proportions
Example 1 Identify Proportions
Example 2 Solve Proportions
Objective #2: Use proportions to solve real-world
problems
Example 3 Use a Proportion to Solve a Problem
Example 4 Convert Measurements
Practice and Apply
Objective #1: Solve Proportions
9-25 odd
(alt. 9, 13, 17, 21, 25,)
Objective #2: Use proportions to solve real-world
33-41 odd, 45
(alt. 33, 37, 41, 45)
Maintaining Your Skills
46-51
Determine whether the pair of ratios forms a proportion.
Write a proportion.
Cross products
Simplify.
Answer: So, .
Obj. #1: Solve Proportions
Determine whether the pair of ratios forms a proportion.
Write a proportion.
Cross products
Simplify.
Answer: So, .
Obj. #1: Solve Proportions
Solve the proportion .
Cross products
Multiply.
Divide.
Answer: The solution is 21.6.
Obj. #1: Solve Proportions
Solve the proportion .
Cross products
Multiply.
Divide.
Answer: The solution is 5.
Obj. #1: Solve Proportions
Obj. #1: Solve Proportions
Determine whether each pair of ratios forms a proportion.
a.
b.
Answer:
Answer:
Obj. #1: Solve Proportions
Solve each proportion.
a.
b.
Answer: 4.5
Answer: 7
Obj. #1: Solve Proportions
Architecture An architect builds a model of a building before the actual building is built. The model is 8 inches tall and the actual building will be 22 feet tall. The model is 20 inches wide. Find the width of the actual building.
Explore You know the actual height of the building and the corresponding height of the model. You need to find the actual width of the building that corresponds with a model width of 20 inches.
Plan Write and solve a proportion using ratios that compare the actual building to the model. Let w represent the actual width of the building.
Obj. #2: Solve real-world
Solve
Write a proportion.
Cross products
Multiply.
Divide.
Simplify.
Obj. #2: Solve real-world
Answer: The actual width of the building is 55 feet.
Examine Check the cross products. Since and , the answer is correct.
Obj. #2: Solve real-world
Attractions The Circleville Pumpkin Show in Circleville, Ohio, boasts the world’s largest pumpkin pie. The pie weighs 350 pounds and is 5 feet in diameter. Find the diameter of the pie in centimeters if 1 foot = 30.48 centimeters.
Let x represent the diameter in centimeters.customary measurement
metric measurement
customary measurement
metric measurement
Cross products
Simplify.
Answer: The diameter of the pie is 152.4 centimeters.
Obj. #2: Solve real-world
Obj. #2: Solve real-world
Planes A model of a jet airplane has a length of 9 inches and a wingspan of 6 inches. Find the wingspan of the actual plane if the length is 120 feet.
Answer: The wingspan of the actual plane is 80 feet.
Obj. #2: Solve real-world
School The gymnasium in a new school building measures 55 feet in length. Find the length of the gymnasium in centimeters if 1 ft = 30.48 centimeters.
Answer: The length of the gymnasium is 1676.4 centimeters.
Obj. #2: Solve real-world
