Warm Up

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Warm Up

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Chapter 4Solving Applying Proportions
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Section 4 1 Ratio Proportion

• Objectives
• To find ratios proportions
• To solve proportions

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Ratio

• A comparison of two numbers by division

 
 
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Rate

• When a and b represent quantities measured in
  different units

Unit Rate
A rate with a denominator of 1.
 
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Example 1 Using Unit Rates

• The table at the right gives prices for different
  sizes of Gatorade.
• A) Find the unit rate for the 12-oz size.

Price Volume
1.00 12 oz
1.75 20 oz
2.50 32 oz
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• B) Find the unit rates for the other two sizes.

Price Volume
1.00 12 oz
1.75 20 oz
2.50 32 oz
C) Which of the three sizes has the lowest cost
per ounce?
D) Why are unit rates important?
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Unit Analysis

• The process of selecting conversion factors to
  produce the appropriate factors.

 
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Important Conversions

• 12 inches 1 feet
• 3 feet 1 yard
• 5,280 feet 1 mile
• 60 seconds 1 minute
• 60 minutes 1 hour
• 24 hours 1 day
• 365 days 1 year

16 ounces 1 pound 100 cm 1 meter
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Example 2 Converting Rates

• A) A cheetah ran 300 feet in 2.92 seconds. What
  was the cheetahs speed in miles per hour?

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Homework

• Textbook Page 185 186 1 13, 38 42 Even

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• B) A sloth travels 0.15 miles per hour. Convert
  this speed to feet per minute.

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• C) 1 qt/min ____ gal/week

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Section 4 1 Continued

• Objectives
• To solve proportions

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Proportion

• An equation that states that two ratios are equal

 
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Cross Products
 

• In the proportion, ad and bc are
  the cross products

 
 
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Example 4 Using Cross Products

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Example 5 Solving Multi-Step Proportions

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Example 6 Real-World P.S.

• A) In 2001, Lance Armstrong won the Tour de
  France, completing the 3454 km course in about
  86.3 hours. Traveling at his average speed, how
  long would it take him to ride 185 km? Round your
  answer to the nearest tenth.

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1. Suppose you walk 2 miles in 35 minutes. How far
   would you walk in 60 minutes, if you were to
   continue at the same rate?
2. Suppose you walk 5 miles in 45 minutes. How far
   would you walk in 1 hour, if you were to continue
   at the same rate?

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Homework

• Page 185 186 14 28 Even 32 - 37