India is currently one of the world s fastest-growing

Chapter 3, Problem 3.1.67

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India is currently one of the world s fastest-growing countries. By 2040, the population of India will be larger than the population of China; by 2050, nearly one-third of the world s population will live in these two countries alone. The exponential function models the population of India, in millions, years after 1974. a. Substitute 0 for and, without using a calculator, find India s population in 1974. b. Substitute 27 for and use your calculator to find India s population, to the nearest million, in the year 2001 as modeled by this function. c. Find India s population, to the nearest million, in the year 2028 as predicted by this function. d. Find India s population, to the nearest million, in the year 2055 as predicted by this function. e. What appears to be happening to India s population every 27 years?

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