CS 2 3 day 2 Finding Costs Unit
- Slides: 11
CS 2. 3 -day 2: Finding Costs – Unit Rate and Constant of Proportionality 1) Learning Target: I can find the unit rate and the constant of proportionality from a graph, table, and equation. 2) Homework Inv 2 Day 4: Complete notes on p. 14 -15 for the EDpuzzle CS 3. 2 pt. 2 Inv 2 Day 4 3) Warm Up: Mario is a professional bicyclist. He can ride 450 miles in an 9 hours. 1. Build a table to show the constants of proportionality. hours 0. 02 0 1 2 9 10 25 50 miles 1 0 50 100 450 500 1, 250 2, 500 2. What are the two unit rates? 50(miles per hour) 0. 02(hours per mile) Write the two equations. m = 50 h h = 0. 02 m
30 60 90 120 30 miles per gallon 0. 0334 of a gallon per mile 180 210 240 270 300
m = 30 g g = 0. 03 m Yes, because there is a constant rate of change.
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.
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:
ii. Write two equations for each store that relates the number of boxes to the cost. Equation: C =. 86 n Equation: C =. 83 n Equation:
iii. Graph the relationships of cost and boxes at the two grocery stores on separate coordinate grids. Fresh Foods Store More for Your Money y Price in dollars 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 y 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 x Number of boxes of pasta C =. 86 n 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 x Number of boxes of pasta C =. 83 n
Fresh Foods Store More for Your Money Number of boxes of pasta 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 y 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 x Price in dollars 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 Price in dollars
iv. At which store should Gus buy pasta? Explain your reasoning.
CS 2. 3 -day 2: Finding Costs – Unit Rate and Constant of Proportionality Did I reach my Learning Target? I can find the unit rate and the constant of proportionality from a graph, table, and equation. Homework Inv 2 Day 4: Complete notes on p. 14 -15 for the EDpuzzle CS 3. 2 pt. 2 Inv 2 Day 4