2. Modeling Luxury Home Sales S(t) = 5.8t2 - 81.2t + 1200 models the The following quadratic function in general form, number of luxury home sales, S(t), in a major Canadian urban area, according to statistical data gathered over a 12 year period. Luxury home sales are defined in this market as sales of properties worth over $3 Million (inflation adjusted). In this case, t = 0 represents 2000 and t = 11 represents 2011. Use a calculator to find the year when the smallest number of luxury home sales occurred. Without sketching the function, interpret the meaning of this function, on the given practical domain, in one well-expressed sentence.

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