Use a calculator with a yx key or a key to solve Exercises

Chapter 12, Problem 12.1.58

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Use a calculator with a yx key or a key to solve Exercises 5356. India is currently one of the worlds fastest-growing countries. By 2040, the population of India will be larger than the population of China; by 2050, nearly one-third of the worlds population will live in these two countries alone. The exponential function f (x) 574(1.026)x models the population of India, f (x), in millions, x years after 1974. a. Substitute 0 for x and, without using a calculator, find Indias population in 1974. b. Substitute 27 for x and use your calculator to find Indias population, to the nearest million, in the year 2001 as modeled by this function. c. Find Indias population, to the nearest million, in the year 2028 as predicted by this function. d. Find Indias population, to the nearest million, in the year 2055 as predicted by this function. e. What appears to be happening to Indias population every 27 years?

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