Formulate a model that predicts the amount of oil in the gulf on day n.

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I believe I have the mathematical model correct. My main concern is part d. I am unsure of how to even approach this. Do I need to first calculate how much oil is cleaned after 25 days with my math model from part a? Then, how do I include the 100 barrels part? I cannot use formulas only discrete dynamical systems. enter image description here