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

Respuesta :

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

Answer: 376,274