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How can you use a graph to determine whether two rates are the same?

How can you use a graph to determine whether two rates are the same?. For example: On Saturday, Jen walked 2.4 miles in 45 minutes. On Sunday, Jen walked 3.2 miles in 60 minutes. Did Jen walk at the same rate on Saturday and Sunday?.

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How can you use a graph to determine whether two rates are the same?

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  1. How can you use a graph to determine whether two rates are the same? For example: On Saturday, Jen walked 2.4 miles in 45 minutes. On Sunday, Jen walked 3.2 miles in 60 minutes. Did Jen walk at the same rate on Saturday and Sunday?

  2. In this lesson you will learn how to determine if two rates are equivalent by graphing.

  3. Ratios oranges oranges:total fruit = total fruit apples = apples:oranges oranges

  4. y (-2,5) (2,5) x (-2,-5) (2,-5)

  5. Left or right? Up or down? Positive y Negative x Positive x (x,y) Negative y

  6. Graphing Jen’s Walking Rate: Let x = time spent walking Let y = distance walked

  7. Jen’s Walking Rate Distance (miles) 6 5 4 3 2 1 0 Distance (miles) Time (mins.) (45,2.4) 2.4 45 (60,3.2) 60 3.2 0 15 30 45 60 Time (mins.)

  8. Jen’s Walking Rate Distance (miles) 6 5 4 3 2 1 0 Distance (miles) Time (hours) (0.75,2.4) 2.4 0.75 (1,3.2) 1 3.2 0 .25 .50 .75 1 Time (hours)

  9. Graphs of Equivalent Rates: • Begin at the Origin • Form a Straight Line

  10. In this lesson you have learned how to determine if two rates are equivalent by graphing.

  11. Let x = parts of yellow Let y = parts of blueGraph the data in the table to determine which greenpaint mixtures have equivalent ratios of x:y

  12. Green Paint Mixtures E (5,8) F (6,9) C (3,6) D (4,6) Blue A (1,2) B (2,3) Yellow

  13. Compare Ratios of Parts Yellow : Parts Blue A & C = 1:2 0 1 B, D & F = 2:3 0 1 E = 5:8 0 1

  14. Create three shades of green paint by mixing different parts of yellow and green paint. Record the parts of yellow and green that you used in a table. Graph the data from your table. Write three equations for your green paint mixtures.

  15. Create the following paint mixtures. List the paints from the most red to the most yellow.

  16. Let x = parts of red y = parts of blue Graph the data in the table to determine which purple paint mixtures have the same ratio?

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