In 2000 the population of India reached 1 billion, and in 2025 it is projected to be

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In 2000 the population of India reached 1 billion, and in 2025 it is projected to be 1.4 billion. 

(a) Find values for Cand a so that P(x) = Cax-2000 models the population of India in year x. 

(b) Estimate India's population in 2010. 

(c) Use P to determine the year when India's population might reach 1.5 billion.

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