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

Answer:

Step-by-step 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. $t=10 yrs$

$A=1173.1e^{0.008\times 10}$

$A=1270.80 million$

(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