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When food is left out at room temperature for a long period of time, mold begins to grow on it. For 0 s t s

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When food is left out at room temperature for a long period of time, mold begins to grow on it. For 0 s t s 40, the amount of mold on a blueberry pie is modeled by the twice-differentiable function 3, where 3(t) is measured in millimeters and t is measured in days. Values of B(t) at selected values of time t are shown in the table. t (days) 0 10 20 40 B(t} {millimeters} 0.246 0.912 3.381 46.465 Part A: Use the data in the table to approximate BT15]. Show the computation that led to your answer. (10 points] Part B: Using correct units, interpret the meaning of B'l15) in the context of the problem. (10 points} Part C: The amount of mold is also modeled by the twice-differentiable function C for 0 s t s 40, where C(t} is measured in millimeters and time t is measured in days. It is known that Cit) can be modeled by the function C(t) = 0.246(1.14]t, where C(t) is measured in millimeters and t is measured in days. Using graphing technology, nd the value of C(15). (10 points)

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