D ylan $ 1600 Unit Rates Tyler $ Lili 2300 Multistep Constant of Proportionality Ratio problems $ Scale Drawings Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 1400 * Website $100 Question from Unit Rates $100 Answer from Unit Rates $200 Question from Unit Rates $200 Answer from Unit Rates $300 Question from Unit Rates $300 Answer from Unit Rates $400 Question from Unit Rates $400 Answer from Unit Rates $500 Question from Unit Rates $500 Answer from Unit Rates $100 Question from Constant of Proportionality The graph below represents the total meters Jake walked over a period of time. What is the constant of proportionality? $100 Answer from Constant of Proportionality 40 mph $200 Question from Constant of Proportionality The table below gives the price for pairs of shoes purchased at a local shoe store. Number of Price in $ Do the numbers in the table pairs of shoes represent a proportional 2 8 relationship? Explain. 3 12 4 16 6 26 $200 Answer from Constant of Proportionality No they do not represent a proportional relationship. All of the ratios = 4 except the last one. $300 Question from Constant of Proportionality $300 Answer from Constant of Proportionality 90 calories $400 Question from Constant of Proportionality A student is baking brownies. Create a graph to determine if the flour and cocoa are proportional for each serving size listed in the table below. Serving size 1 2 3 4 Flour (x) 1 2 3 4 1.5 2.5 3.5 4.5 Cocoa (y) If the quantities are proportional, what is the unit rate Or constant of proportionality that defines the relationship. If they are not proportional, explain why. $400 Answer from Constant of Proportionality The quantities are not proportional because the graph does not go through the origin. $500 Question from Constant of Proportionality The graph below represents the number of songs played on a radio station. The unit rate is represented as 7.5 songs per hour. Complete the table below and write an equation that represents the relationship. Number of hours (h) 2 4 6 8 10 Number of songs played (p) $500 Answer from Constant of Proportionality Number of hours (h) Number of songs played (p) 2 15 4 30 6 45 8 60 10 75 $100 Question from Multistep Ratio Problems $100 Answer from Multistep Ratio Problems $200 Question from Multistep Ratio Problems $200 Answer from Multistep Ratio Problems $300 Question from Multistep Ratio Problems $300 Answer from Multistep Ratio Problems $400 Question from Multistep Ratio Problems $400 Answer from Multistep Ratio Problems $500 Question from Multistep Ratio Problems $500 Answer from Multistep Ratio Problems + $100 Question from Scale Drawings If the rectangle shown below is enlarged using a scale factor of 1.5, what will be the new area and perimeter of the rectangle? $100 Answer from Scale Drawings Perimeter = 21 ft 2 Area = 27 ft $200 Question from Scale Drawings If the rectangle shown below is enlarged using a scale factor of 2.5, what will be the new area and perimeter of the rectangle? $200 Answer from Scale Drawings Perimeter = 35 in 2 Area = 62.5 in $300 Question from Scale Drawings The scale on a map shows that 5 inches = 2 miles. What is the actual distance represented by 26 inches on the map? $300 Answer from Scale Drawings 10.4 miles $400 Question from Scale Drawings The scale on a map shows that 15 cm = 6 miles. If the distance between two cities on the map is 5.7 cm, how far is the actual distance? $400 Answer from Scale Drawings 2.28 miles $500 Question from Scale Drawings $500 Answer from Scale Drawings Final Jeopardy Final Jeopardy Answer ?