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In green paint mixture #1 the ratio of blue to yellow is 1:2 and has two related rates. Explore the unit...

6. In green paint mixture #1 the ratio of blue to yellow is 1:2 and has two related rates. Explore the unit rate of yellow paint per 1 unit blue by completing the table, equation and graph.
Cups of yellow paint (x) | Process | Cups of blue paint (y)
1 | |
2 | | 1
3 | |
4 | | 2
5 | |
6 | | 3
x | |

Answer

Table Completion:

  1. For 1 cup of yellow paint, y = 0.5 cups of blue paint.
  2. For 3 cups of yellow paint, y = 1.5 cups of blue paint.
  3. For 5 cups of yellow paint, y = 2.5 cups of blue paint.
  4. For x cups of yellow paint, y = 0.5x cups of blue paint.

Equation:

The equation for the relationship is y = 0.5x.

Graph:

Plot the points (1, 0.5), (2, 1), (3, 1.5), (4, 2), (5, 2.5), (6, 3) on a graph and draw a straight line through them, showing the linear relationship y = 0.5x.

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