A tire company has found that the quantity demanded x, in thousands of units per week, of their best-selling tire is related to the unit price p by the equation (see image). A.) Use differentials to find an approximate change in the quantity of tires demanded per week if the unit price of the tires is increased from $119 to $122 per tire. B.) Use your calculator to find the actual demand for tires when the price is set at $119 and $122 per tire. Then find the difference in demand. C.) Explain why the answers to parts A and B are not the same.

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