the population of the world in 1750 was791 million, and in the year 2005 was 625

Question

the population of the world in 1750 was791 million, and in the year 2005 was 6251 million. (a) assuming that the population of the world grows exponentially, find the equation for the population in millions in the year t. P(t) = ___e^(__)t (b) use your answer from part a. to find the population of the world in the year 1. (c) is your answer to part b reasonable? what does this tell you about how the population of the world grows? HELP PLEASE

Explanation / Answer

let the population be P(t) = ke^at then => 6251/791 = e^a(2005-1750) => a= 8.1 x 10^-3 also 791 million = k e^(1750a) => k = 545.744 thus eqn being P(t) = 545.744 e^((8.1 x 10^-3)*t) b) population at year 1 P(1) = 545.744 e^(8.1 x 10^-3) = 550

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