According to the data, what would the population be in 2010? [note: the function is p(t) = (200)(1.01223)t . a) 367,274 b) 367,987 c) 368,254 d) 368,640 year 1960 1975 1990 2005 2020 (est.) population p(t) 200,000 240,000 288,000 345,600 414,720

Given the model that represents the population growth, P(t)=200(1.01223)t, the population in 2010 will be found as follows:
t=2010-1960=50
substituting the value of t in our equation we get:
P(50)=200(1.01223)^50
P(50)=367.274
since the value is in thousands, the population will be:
376,274

376,274

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