In 2011, the Population of China and India were approximately 1.34 and 1.19 billion people, respecti

spiderifilms6e

spiderifilms6e

Answered question

2022-02-01

In 2011, the Population of China and India were approximately 1.34 and 1.19 billion people, respectively. However due to central control the annual population growth rate of China was 0.4% while the population of India was growing by 1.37% each year. if these growth rates remain constant. when will the population of India exceed that of China?

Answer & Explanation

seibesitoeu

seibesitoeu

Beginner2022-02-02Added 12 answers

So the growth function for the population of China is C(t)=1.34(1.004)t, and for India I(t)=1.19(1.0137)t. So, we need to solve the inequality
1.19(1.0137)t>1.34(1.004)t
(1.191.34)(1.01371.004)t>1
(1.01371.004)t>(1.341.19)
tlog(1.01371.004)>log(1.341.19)
t>log(1.341.19)log(1.01371.004)
t>12.35

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