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The function S(I)=-0.0034I^2+1.2I+444 approximates a US students average math SAT score as a function of their parent's income level. Where I represents the parents income

The function S(I)=-0.0034I^2+1.2I+444 approximates a US students average math SAT score as a function of their parent's income level. Where I represents the parents income level in thousands of dollars per year. Compute the derivative function S'(I)using the limit method, then compute and interpret S'(30) in the context of the situation.

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