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Grade 12Botany

In 2005, for each of the 14 million people present in a country, 0.028 were born and 0.008 died during the year. Using exponential equation, the number of people present in 2015 is predicted as:
a. 25 millions
b. 17 millions
c. 20 millions
d. 18 millions

Rinku

10 Years agoGrade 12

4 Answers

Akshat Jain

Approved Tutor Answer10 Years ago

dN/dT = rN

$\Delta$ N/ $\Delta$ T = rN

as we know that r = b-d

r = 0.028-0.008

= 0.020

N = initial poulation = 14 million

$\Delta$ N/ $\Delta$ T = 0.020x14 million

$\Delta$ N/10 = 0.28

$\Delta$ N = 2.8 million

$\Delta$ N = N_f- N_i = 2.8

N_{f =}2.8 + 14 = 16.8 million

So answer is (b) 17 million.

Rinku

10 Years ago

As given in question we are to use exponential equation.

Why we are using this equation to solve this problem ?

Please tell me in detail ..

Akshat Jain

10 Years ago

Exponential equation is integral form of this equation i.e. N_t =N₀ e^rt

If you use this equation then you will fell difficulties to solve exponetial function.

But this equation can also be used to solve this problem..

Thanks For Such A Good Question ..

G Maheshbabu

10 Years ago

dN/dT = rN

$\Delta$ N/ $\Delta$ T = rN

as we know that r = b-d

r = 0.028-0.008

= 0.020

N = initial poulation = 14 million

$\Delta$ N/ $\Delta$ T = 0.020x14 million

$\Delta$ N/10 = 0.28

$\Delta$ N = 2.8 million

$\Delta$ N = N_f- N_i = 2.8

N_{f =}2.8 + 14 = 16.8 million

So answer is (b) 17 million.

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