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Proportions

Proportions. #27. 2. 4. 4. 8. 2. 6. __. __. __. __. __. __. =. =. =. 1. 2. 2. 4. 1. 3. 2. 4. __. __. 1. 2. Vocabulary. A proportion is an equation that shows two equivalent ratios. Reading Math. Read the proportion = as “two is to one as four is to two.”.

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Proportions

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  1. Proportions #27

  2. 2 4 4 8 2 6 __ __ __ __ __ __ = = = 1 2 2 4 1 3 2 4 __ __ 1 2 Vocabulary A proportion is an equation that shows two equivalent ratios. Reading Math Read the proportion = as “two is to one as four is to two.”

  3. Example 1: Modeling Proportions Julio spent $10 to buy 4 books at a garage sale. How much would Julio pay for 8 books at the garage sale?

  4. Example 2 Paul spent $15 on 3 CDs at a store where all CDs are the same price. How much would it cost for Paul to buy 9 CDs?

  5. Example 3 Beth drove 120 miles in 2 hours. She continues driving at the same rate and does not stop. How far will she have driven in 6 hours?

  6. CROSS PRODUCTS Cross products in proportions are equal 4 2 3 9 9 3 14 2 __ __ __ ___ __ __ __ __ = = = = 8 4 5 15 6 2 7 1 FYI 6 •3 = 9 • 2 7 •2 = 14 • 1 8 • 2 = 4 • 4 5 • 9 = 3 • 15 16= 16 18 = 18 14 = 14 45= 45

  7. 5 n __ __ = 6 18 Example 4: Using Cross Products to Complete Proportions Find the missing value in the proportion.

  8. 3 4 __ __ = 9 n Example 5: Using Cross Products to Complete Proportions Find the missing value in the proportion.

  9. 3 n __ __ = 5 15 Example 6 Find the missing value in each proportion. 3 • 15

  10. 2 6 __ __ = 13 n Example 7 Find the missing value in each proportion. 2 •n= 6 • 13 2n= 78 n = 39

  11. tbsp tbsp ___ ___ gal gal gal gal ___ ___ tbsp tbsp FYI Caution! In a proportion, the units must be in the same order in both ratios. = or =

  12. Example 8 According to the label, 1 tablespoon of plant fertilizer should be used per 6 gallons of water. How many tablespoons of fertilizer would you use for 4 gallons of water?

  13. Example 9 To make a certain shade of pink paint, mix 8 gallons of white paint with 3 gallons of red paint. How many gallons of white paint would you mix with 15 gallons of red paint to make this shade of pink?

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