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D: Proportional Reasoning Continued

D: Proportional Reasoning Continued *** Complete Page 67 # 4 – 14 if you haven’t already we will go over this tomorrow*** Examples: 3 kg of Halibut costs $28.70. How much will 7 kg of halibut cost? 3kg = 7kg Remove the units if they confuse you! $28.70 x

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D: Proportional Reasoning Continued

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  1. D: Proportional Reasoning Continued *** Complete Page 67 # 4 – 14 if you haven’t already we will go over this tomorrow*** Examples: 3 kg of Halibut costs $28.70. How much will 7 kg of halibut cost? 3kg = 7kgRemove the units if they confuse you! $28.70 x 3 = 7 Cross Multiply $28.70 x 3 = 7 $28.70 x 3x = 200.90 Divide both sides by 3 in order to solve for x. 3x= 200.90 3 Cancels 3 3 x = 66.97 7kg of Halibut costs $66.97

  2. 2. Determine the missing value in the equivalent fraction. 4 = 24 = Solve for the missing values separately. 30 15 4 = 24Don’t worry about the third fraction right now! x 30 Cross Multiply! 24x = 120 Divide both sides by 24 to solve for x. 24x= 120 24 Cancels out. 24 24 x = 5 Now solve for the other unknown. I am using y in order to show the difference between the two unknowns. 24 = y Cross Multiply! 30 15 30y = 360 Divide both sides by 30 to solve for y. 30x = 360 30 Cancels out. 30 30 y= 12

  3. 3. A machine cuts a rectangle of licorice into four pieces in 8s. If it continues cutting at a constant speed how long will it take him to cut a similar rectangle into 200 pieces? 4 pieces = 200 pieces 8 s x 4 = 200 Cross Multiply 8 x 4x = 1600Divide each side by 4 to solve for x. 4x = 1600 The 4’s cancel out. 4 4 x = 400 s To the nearest minute how long does this take? 400 ÷ 60 = 6.6 7 Minutes Assignment: Pg. 68 # 15, 17, 19, 21, 22, 23, 27 due tomorrow If you finish early Pg. 72 # 1 – 14 (Studying Purposes)

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