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Learning Target: I can find the unit rate and the constant of proportionality from a graph, table, and equation. Homework: Complete notes on p.14-15 for the Zaption Video CS 2.3 part 2 Warm Up: CS 2.3-day 2: Finding Costs – Unit Rate and Constant of Proportionality 1.Build a table to show the constants of proportionality. 2.What are the two unit rates? Write the two equations. hours01292550 miles14505002,500 1h = 50m1m = 0.02h 50 (miles per hour) 0.02 (hours per mile) Mario is a professional bicyclist. He can ride 450 miles in an 9 hours. 0.02 0 50 100 10 1,250
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30 60 90 120 180 210 240 270 300 30 miles per gallon 0.0334 of a gallon per mile
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m = 30g g = 0.03m Yes, because there is a constant rate of change.
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CS 2.3: Finding Costs – Unit Rate and Constant of Proportionality (Part 2) C. Gus wants to determine which store has better prices for groceries. At More for Your Money grocery story, pasta is 7 boxes for $6. At Fresh Foods grocery store, pasta is 6 boxes for $5.
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At More for Your Money grocery story, pasta is 7 boxes for $6. At Fresh Foods grocery store, pasta is 6 boxes for $5. i. Create a rate table for each grocery store and write two unit rates (include units): Set up and solve proportions to find the two unit rates:
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C =.86n C =.83n ii. Write two equations for each store that relates the number of boxes to the cost. Equation:
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iii. Graph the relationships of cost and boxes at the two grocery stores on separate coordinate grids. C =.86n More for Your Money Fresh Foods Store C =.83n Number of boxes of pasta Price in dollars x 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 y Number of boxes of pasta Price in dollars x 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 y
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More for Your Money Fresh Foods Store Number of boxes of pasta Price in dollars x 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 y Number of boxes of pasta Price in dollars x 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 y
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iv. At which store should Gus buy pasta? Explain your reasoning.
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Did I reach my Learning Target? I can find the unit rate and the constant of proportionality from a graph, table, and equation. Homework: Complete notes on p.14-15 for the Zaption Video CS 2.3 part 2 CS 2.3-day 2: Finding Costs – Unit Rate and Constant of Proportionality
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