India is currently one of the world\'s fastest-growing countries. By 2040, the p
ID: 3120370 • Letter: I
Question
India is currently one of the world's fastest-growing countries. By 2040, the population of India will he 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 f(x) = 574(1026)^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 India's population in 1974. b. Substitute 27 for x 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?Explanation / Answer
f(x) = 574(1.026)x
a) x =0 means f(x) = 574 millions
b) x = 27
f(x) = 574(1.026)27 = 1148 millions
c) x = 54
f(x) = 2255 millions
d) x = 81
f(x) = 4590 millions
e) India's populations is getting doubled in every 27 years