The total sales of a company (in millions of dollars) t months from now are give

Question

The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t). Find S(2) and S'(2) (to two decimal places). Interpret S(11) = 203.43 and S'(11) = 30.89. S'(t) = S(2) = S'(2) = Choose the correct interpretation of S(11)=203.43. In 11 months the sales will be increasing at a rate of S203.43 million per month. In approximately 203 months the sales will be S11 million dollars. In approximately 203 months the sales will be increasing by S11 million per month. The total sales 11 months from now will be $203.43 million dollars. Choose the correct interpretation of S'(11) = 30.89. The total sales 11 months from now will be $30.89 million dollars. In approximately 31 months the sales will be S11 million dollars. In 11 months the sales will be increasing at a rate of S30.89 million per month. In approximately 31 months the sales will be increasing by S11 million per month.

Explanation / Answer

A) 0.09 t^2 + t + 9

B) s(2) = 0.24 + 2 + 18 + 4 = 24.24

s'(2) = 0.36 + 2 + 9 = 11.36

c) option D ;

2nd : option c

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