Use a calculator with a y^x key or a key to solve: India is currently one of the world’s fastest-growing countries. By 2040, the population of India w

smileycellist2

smileycellist2

Answered question

2020-11-11

Use a calculator with a yx key or a key to solve: 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.
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.

Answer & Explanation

odgovoreh

odgovoreh

Skilled2020-11-12Added 107 answers

Part (a):
We have,
f(x)=574(1.026)x
So at x=0
We obtain,
f(0)=574(1.026)0
f(0)=574(1)
f(0)=574
Part (b)
We have,
f(x)=574(1.026)x
So at x=27
We obtain,
f(0)=574(1.026)27
f(0)=574×1.9997
f(0)=1147.864
Part(c)
For the year 2028, we have, 58 as for 2028 we have an extension of 58 years from 1974
So at x=58
We obtain,
f(0)=574(1.026)58
f(0)=574×4.4314
f(0)=2543.6585

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