The total number of a particular chain store in the world can be modeled by the

Question

The total number of a particular chain store in the world can be modeled by the cubic function y = 104x3-402x2 + 5589x-8697, where x is the number of years after 2000 and y is the total number of stores. Complete parts (a) through (c) below. OA ??. (b) What does the model predict the number of stores will be in 2025? The model predicts that there will be stores in 2025. Round to the nearest whole number as needed.) (c) Does the number of stores ever decrease over this period of years, ending in 2020, according to the model? O No O Yes

Explanation / Answer

(a) This part is presumably about selecting the correct graph out of the given options. Since it is a cubic function with positive leading coefficient, thegraph would rise to the right and fall through the left. The most appropriate choice would be B

(b) In 2025, it will 25 years since the year 2000. Hence at x=25, y=10.4(25^3)-402(25^2)+5589(25)-8697=42278

(c)No. The function is a increasing function. The number of stores will go on increasing every year.

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