Use a calculator with a yx key or a key to solveExercises 6570.India is currently one of

Chapter 4, Problem 65

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Use a calculator with a yx key or a key to solveExercises 6570.India is currently one of the worlds fastest-growingcountries. By 2040, the population of India will be largerthan the population of China; by 2050, nearly one-third ofthe worlds population will live in these two countries alone.The exponential function f(x) = 574(1.026)x models thepopulation of India, f(x), in millions, x years after 1974.a. Substitute 0 for x and, without using a calculator, findIndias population in 1974.b. Substitute 27 for x and use your calculator to find Indiaspopulation, to the nearest million, in the year 2001 asmodeled by this function.c. Find Indias population, to the nearest million, in the year2028 as predicted by this function.d. Find Indias population, to the nearest million, in the year2055 as predicted by this function.e. What appears to be happening to Indias population every27 years?