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India is currently one of the world\'s fastest-growing countries. By 2040, the p

ID: 3210519 • Letter: I

Question

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 f(x) = 574 (1.026)" models the population of India, f (x) in millions, x years after 1974. Ko Find India's population in 1974 as modeled by this function. Ko Find India's population in 2001 as modeled by this function. o Find India's population in 2028 as predicted by this function. ko Find India's population in 2055 as predicted by this function. t appears to be happening to Inda's population every 27 years?

Explanation / Answer

f(x) = 574 * (1.026)^x

1)
here: x = 0
f(x) = 574 * (1.026)^0
= 574 millions

Answer: 574 millions

2)
here: x = 27
f(x) = 574 * (1.026)^27
= 1148 millions

Answer: 1148 millions

3)
here: x = 54
f(x) = 574 * (1.026)^54
= 2295 millions27

Answer: 2295 millions

4)
here: x = 81
f(x) = 574 * (1.026)^81
= 4590 millions

Answer: 4590 millions

5)
India population doubles every 27 years