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The number of visits to Smithsonian museums and institutions in United States have fluctuated in recent...

The number of visits to Smithsonian museums and institutions in United States have fluctuated in recent years. A function which can model the fluctuations from 2000 to 2011 is S(t) = -0.033t 3 + 0.82x 2 – 5.3t + 33.2 where S(t) is the number of visits to Smithsonian museums and institutions (in millions) in the year that is t years after 2000. (Source: Model derived from data reported by the Smithsonian from 2000 to 2011.)

a. In what year(s) were there 30 million visits to Smithsonian museums and institutions?

b. According to the equation, how many visits where there to Smithsonian museums and institutes in 2018?

c. The actual number of visits to Smithsonian museums and institutes in 2018 was 28.5 million. This is different that your equation predicted. Why are the numbers different?

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