Question

The exponential model for the population of India is A=1173.1 e0.008t, where A is the population in millions t years after 2010.a.What was the population of India in 2010?b. What is the projected population of India in 2020?c. When willIndia's population be 1491 million?

Answer 1

Explanation:

Given

Population variation of India is

`A=1173.1e^(0.008t)`

Population of India at 2010 i.e. t=0

`A=1173.1\cdot 1`

`A=1173.1 million`

(b)Population in 2020

i.e.
`t=10 yrs`

`A=1173.1e^(0.008* 10)`

`A=1270.80 million`

(c)Time at which Population is 1491 million

`1491=1173.1e^(0.008t)`

`1.27099=e^(0.008t)`

`t=29.96 yrs`

i.e. up to 2040 Population would have crossed 1491 million