To plot the points that represent the proportional relationship between the ounces of brandy-colored hair dye and mocha-colored hair dye, we start with the given ratio of 4:3.
This means that for every 4 ounces of brandy, there are 3 ounces of mocha. We can use this information to determine some specific points.
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Point 1: If we consider 4 ounces of brandy, we can find the corresponding ounces of mocha: \[ \text{Brandy} = 4 \quad \text{(ounces)} \] \[ \text{Mocha} = 3 \quad \text{(ounces)} \] Thus, the first point is \((4, 3)\).
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Point 2: We can also scale the amounts. Let’s double the amounts to find another point: \[ \text{Brandy} = 8 \quad \text{(ounces)} \] \[ \text{Mocha} = 6 \quad \text{(ounces)} \] Thus, the second point is \((8, 6)\).
Now, we can summarize the points to plot on the graph:
- Point 1: \((4, 3)\)
- Point 2: \((8, 6)\)
When you graph these points in the coordinate system, you will see they lie on the same line, illustrating the constant ratio of brandy to mocha hair dye that Aurora uses.