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To determine the rate of change, we need to calculate the slope of the line on the graph. The rate of change represents how much additional cups of sugar are used for each additional cupcake baked.
Rate of change = (change in cups of sugar) / (change in cupcakes)
For example, if the graph shows that 10 extra cups of sugar are used for every 20 additional cupcakes baked, then the rate of change would be:
Rate of change = 10 cups / 20 cupcakes = 0.5 cups per cupcake
Therefore, the rate of change is 0.5 cups per cupcake, and it represents the amount of additional cups of sugar used for each additional cupcake baked.