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

Caelan

Caelan

Answered question

2021-06-17

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)x models the population of India, f(x), in millions, x years after 1974. Find India’s population, to the nearest million, in the year 2055 as predicted by this function.

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2021-06-18Added 109 answers

Finding the value of x, which represents the number of years after 1974, allows us to calculate the population of India in 2055 using this function. The number of years in 2055 and after 1974 is thus equal to
x=20551974=81
The population of India in the year 2055 from the function
f(81)=574(1.026)81
Scientific calculator: 574(1..26)yx81= and
Graphing calculator: 574(1.026)81 ENTER
This should approximately by f(81)=574(1.026)814590.37 millions


The population of India in the year 2055 will te 4590.37 millions.

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