A model for the US average price of a pound of white sugar from 1993 to 2003 is given by the function S(t) = t^3 - 6t^2 + 9t + 1 where t is measured in years since August of 1993. Estimate the times when sugar was cheapest and most expensive during the period 1993-2003.
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The minimum or maximum of a quadratic function is found at its vertex. The x-coordinate of the vertex of a function in the form f(x) = ax^2 + bx + c is given by -b/2a. In this case, a = 6 and b = -9, so the x-coordinate of the vertex is -(-9)/(2*6) = 0.75. Show more…
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