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Write Proportions

Write Proportions. Sue needs 9 cups of flour to make 16 batches of cookies. How much flour does she need if she only wants to make a fourth of her recipe. EX 5). Determine Ratios. X. cups. 9. Cups. =. Set up proportion. X. batches. 4. batches. 16. Cross Multiply. Divide.

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Write Proportions

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  1. Write Proportions

  2. Sue needs 9 cups of flour to make 16 batches of cookies. How much flour does she need if she only wants to make a fourth of her recipe. EX 5) Determine Ratios. X cups 9 Cups = Set up proportion. X batches 4 batches 16 Cross Multiply. Divide 9 X 4 = 36 = 4 1 2 2 36 ÷ 16 = Cups 16 4

  3. Density – is a comparison of how much mass is in a unit of volume. Written – mass / unit volume Ralph has a paper clip with a mass of 9g and a volume of 3cm3. What is the density? EX 6) Determine Ratios. X Mass 9 g mass = 1 Volume cm3 3 cm 3 Set up proportion. Cross Multiply. Divide 9 X 1 = 9 Density = 3g/cm3 9 ÷ 3 = 3

  4. A 12 oz sport drink cost $1.08 and a 16 oz. sport drink cost $1.28. Which drink is the better buy? EX. 7) 1 oz 12 oz = Step 1: highlight rates X 1.08 Since you are comparing you will set up two proportions $ $ Solve Step 2: set up proportion Step 3: Cross multiply and divide 1 16 oz oz = 1.28 X $ $ Solve

  5. 0 . 0 9 $1.08 X 1 = 1.08 1.08 ÷ 12 12 12 oz drink that cost $1.08 is $0.09 / oz Back 0 . 0 8 $1.28 X 1 = 1.28 1.28 ÷ 16 16 16 oz drink that cost $1.28 is $0.08 / oz The better buy is the cheaper drink The 16 oz is the better buy

  6. Try this on your own A car travels 480 miles in 8 hours and uses 16 gallons of gas. What is the average speed? ( miles per hour) What is the average gas mileage? ( miles per gallon)

  7. Notes start here

  8. Solve Proportions

  9. 3 5 1 2 2 4 5 7 = = CROSS PRODUCT RULE a b c d In the proportion = , the cross products, a · d and b · c are equal. uses EX 1) 1. 2. 3. EX 2) EX 3)

  10. 9 15 m 5 = You can use the cross product rule to solve proportions with variables. Which help you find missing values. EX 4) 1. 2. = 3. = This is called the extreme and means ratio. =

  11. Unit rate : a rate whose denominator is 1. It may not always look like a number; watch for words like per or each. miles / 4 hours EX 5) 200 Step 1: How many miles traveled per hour? Step 2: = Step 3:

  12. miles EX 6) 160 / 5 gallons How many miles per gallon? =

  13. EX 7) Convert 5,000 pounds to tons. pounds tons 1: Set up = • 2: _____ Proportion • C • D = = EX 8) Convert 24 pints to cups. cups pints = = =

  14. Sue needs 9 cups of flour to make 16 batches of cookies. How much flour does she need if she only wants to make a fourth of her recipe. EX 9) =

  15. Density – is a comparison of how much mass is in a unit of volume. Written – mass / unit volume EX 10) Ralph has a paper clip with a mass of 9g and a volume of 3cm3. What is the density? =

  16. A 12 oz sport drink cost $1.08 and a 16 oz. sport drink cost $1.28. Which drink is the better buy? EX 11) = =

  17. Try this on your own A car travels 480 miles in 8 hours and uses 16 gallons of gas. What is the average speed? ( miles per hour) What is the average gas mileage? ( miles per gallon)

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