Lesson 11 Equations for Proportional Relationships Answer Key

Lesson 11 — Writing Equations for Proportional Relationships, Independent Practice1. The equation r = (3/4)b represents cups of raisins r for b batches of trail mix. Which point is on the graph? A. (3/4, 1) B. (4, 3) C. (3, 4) D. (0, 3/4)2. A Weight of Boxes graph shows a line through (0,0), (1,1/2), (2,1), (4,2), and (5,2 1/2), with a star at (1,1/2). What does the star mean? A. Half of a box weighs 1 pound. B. Each box weighs 1/2 pound. C. Each box weighs 1 pound. D. Each box weighs 2 pounds.3. A baker uses 18 3/4 cups of flour for 5 loaves. Select every correct representation. A. f = 3 3/4 b. B. A table pairs 10, 15, 20 loaves with 23 3/4, 28 3/4, 33 3/4 cups. C. b = 3 3/4 f. D. A line through (2,7.5), (4,15), and (6,22.5).4. A dog-food graph passes through (0,0), (5,2), (8,3.2), and (10,4). Select every correct statement. A. The data is proportional. B. (5,2) means 5 pounds in 2 days. C. (0,0) has no meaning. D. The constant of proportionality is 0.4.5. One paint can covers 32 square feet. How many cans are needed for a 10-foot by 12-foot wall?6. The table pairs 28, 12, 32, 16 students with 7, 3, 8, 4 pizzas. Explain why p = (1/4)s and s = 4p are both correct.