- To draw a graph that shows the amount of red paint needed given the amount of white paint, we can use a coordinate system with white paint on the x-axis and red paint on the y-axis. We know that the ratio of white paint to red paint is 2:3, which means that for every 2 units of white paint, we need 3 units of red paint. We can use this information to plot two points on the graph: (2, 3) and (4, 6). These two points represent the amount of white paint and red paint needed to create a mixture in the ratio of 2:3. We can then draw a straight line through these two points to represent all possible mixtures of white and red paint in the 2:3 ratio. The graph might look something like this:
GRAPHICAL REPRESENTATION:
| *
| / \
Red | / \
paint | / \
| / \
*-----------*
White
paint
Step-by-step explanation:
(b) If we need to mix 9 liters of white paint with red paint in the ratio of 2:3, we can use the graph to find the corresponding amount of red paint. We plot 9 on the x-axis and draw a vertical line up to the line representing the 2:3 ratio. From the point where the vertical line intersects the ratio line, we can draw a horizontal line to the y-axis to find the corresponding amount of red paint.
- Using the graph, we can see that a mixture of 9 liters of white paint and red paint in the ratio of 2:3 requires approximately 13.5 liters of red paint.