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Review for Unit 1 Test The dry cleaning fee for 3 pairs of pants is $18. • What is the constant of proportionality? • How much will the dry cleaner charge $ 66.00 for 11 pair of pants? Activity #1 Workbook Page 42 Problem #1 There are 3 cans that store 9 tennis balls. a. What is the C.O.P? b. Write an equation for the situation. Problem #1 There are 3 cans that store 9 tennis balls. a. C.O.P. = 3 b. B = 3C Problem #1 In 25 minutes, Li can run 10 laps around the track. a. What is the C.O.P? b. Write an equation for the situation. Problem #1 In 25 minutes, Li can run 10 laps around the track. a. C.O.P = 0.4 (laps per min) b. L = 0.4M OR a. C.O.P. = 2.5 (min per lap) b. M = 2.5L Which makes more sense? Problem #2 Jennifer is shopping with her mother. They pay $2 per pound for tomatoes at the vegetable stand. a. What is the C.O.P? b. Write an equation for the situation. Problem #2 Jennifer is shopping with her mother. They pay $2 per pound for tomatoes at the vegetable stand. a. C.O.P = 2 b. C = 2P Problem #3 It cost $5 to send 6 packages through a certain shipping company. a. What is the C.O.P? b. Write an equation for the situation. Problem #3 It cost $5 to send 6 packages through a certain shipping company. a. C.O.P = 0.83 ($ per package) b. C = 0.83P OR a. C.O.P. = 1.2 (packages per $) b. P = 1.2d Which makes more sense? Each problem is proportional. Write an equation for each. b. x y c. Julia is shopping. a. 5 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 1 2 3 4 5 -1 0 1 -4 0 4 2 8 She finds a sale that has 5 t-shirts for $15. Name That Point! What does (4,40) mean? What is the C.O.P? 10 Plant Production Name That Point! What does (10, 2.5) mean? What is the C.O.P? 1 4 Name That Point! What does (15, 60) mean? What is the C.O.P? 4 Name That Point! What does (30, 15) mean? What is the C.O.P? 1 2 Determine if the equations are proportional. Proportional Non-Proportional y= 2x – 4 y= x + 3 y= 2x + 12 y= -3x y= 1 2 x y= -7 + x y= x – 4 y= 17x Does this relationship show constant proportionality? How do you know? x Time (hrs) 2 6 8 2.5 7 10 2 12 6 16 8 5 2.5 14 7 y Snowfall (in) =5 10 =2 12 =2 16 5 =2 14 =2 Does this relationship show constant proportionality? How do you know? x Number of days 6 9 24 3 2 6 3 9 8 24 1 3 1 3 1 1 3 3 1 3 y Cost ($) 2 3 8 1 1 = 3 Does this relationship show constant proportionality? How do you know? x Pounds 5 4 6 8 10 10 5 =2 8 4 =2 12 6 =2 16 8 =2 20 10 =2 y Cost 10 8 12 16 20 Y = 2x Randy is planning to drive from New Jersey to Florida. He recorded the distance traveled and the total number of gallons of gas used every time he stopped for gas. Gallons (x) 2 Miles 54 (y) 4 96 7 8 189 216 10 270 12 324 HINT: Find the constant rate! = 27 = 27 Constant rate is 27