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Final answer:The rate of oil leakage after the shipwreck can be calculated using an exponential decay function. The rate of oil leakage, R(t), t minutes after the shipwreck is given by R(t) = (Initial Rate) * (0.5)^(t / Half-life). The total amount of oil leaked in the first 330 minutes can be calculated by integrating the rate function, R(t), from 0 to 330.Explanation:The rate of oil leaking after the shipwreck can be modeled by an exponential decay function. Given that the half-life of the oil leak is 110 minutes, the rate of oil leakage, R(t), at any given time, t, can be calculated using the formula:R(t) = (Initial Rate) * (0.5)^(t / Half-life)Plugging in the values, the rate of oil leakage, R(t), t minutes after the shipwreck is 0.1 * (0.5)^(t / 110) million gallons per minute. To calculate the total amount of oil leaked in the first 330 minutes, we need to integrate the rate function, R(t), from 0 to 330:Total amount of oil = ∫[0, 330] (R(t) dt)Simplifying and integrating the function, we find that approximately 0.191 million gallons of oil will leak out in the first 330 minutes after the shipwreck....

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