Algebra II

From 1990-1994 the mail order sales of health products can be modeled by S= 10t^3+115t^2+25t+2505 where S is the sales (in millions) and t the number of years since 1990. In what year were about $3885 million health products sold.

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  1. Let 1990 be 1, 1991 be 2, 1992 be 3, and 1994 be 4
    3885=10(3^3)+115(3^2)+25(3)+2505
    3885= 270 + 1035 + 75 +2505
    3885=3885
    1992 is the answer

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  2. 3885=10t^3+115t^2+25t+2505
    −10t3−115t2−25t+1380=0
    −5(t−3)(2t2+29t+92)=0
    t−3=0 2t2+29t+92=0
    t=3
    1992

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