Question: It is estimated that x years from now, the average SAT mathematics score of the incoming students at an eastern liberal arts college will be

It is estimated that x years from now, the average SAT mathematics score of the incoming students at an eastern liberal arts college will be f(x) = −6x + 582.

a. Derive an expression for the rate at which the average SAT score will be changing with respect to time x years from now.

b. What is the significance of the fact that the expression in part (a) is a constant? What is the significance of the fact that the constant in part (a) is negative?

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