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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 :

Answer:

Step-by-step explanation:

Given

Population variation of India is

[tex]A=1173.1e^{0.008t}[/tex]

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

[tex]A=1173.1\cdot 1[/tex]

[tex]A=1173.1 million[/tex]

(b)Population in 2020

i.e. [tex]t=10 yrs[/tex]

[tex]A=1173.1e^{0.008\times 10}[/tex]

[tex]A=1270.80 million[/tex]

(c)Time at which Population is 1491 million

[tex]1491=1173.1e^{0.008t}[/tex]

[tex]1.27099=e^{0.008t}[/tex]

[tex]t=29.96 yrs[/tex]

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

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