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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
Correct answer is option 'B'. Can you explain this answer?
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In 2005, for each of the 14 million people present in a country 0.028 ...
In 2005, for each of the 14 million people present in a country, 0.028 were born and 0.008 died during the year.
r = 0.028 - 0.008 = 0.02
dt = 2015 - 2005 = 10 years
N = N2005 = 14 million
dN = change in population in 10 years
dN = 0.02 x 14 x 10
dN = 2.8 milliom
dN = N2015 - N2005
N2015 = dN + N2005
= 2.8 + 14
= 16.8 ≈ 17 million
r = 0.028 - 0.008 = 0.02
dt = 2015 - 2005 = 10 years
N = N2005 = 14 million
dN = change in population in 10 years
dN = 0.02 x 14 x 10
dN = 2.8 milliom
dN = N2015 - N2005
N2015 = dN + N2005
= 2.8 + 14
= 16.8 ≈ 17 million
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In 2005, for each of the 14 million people present in a country 0.028 ...
Exponential Equation for Population Growth
The exponential equation for population growth is given by:
N(t) = N0e^(rt)
Where N(t) is the number of individuals at time t, N0 is the initial number of individuals, e is the mathematical constant equal to approximately 2.718, r is the growth rate, and t is the time elapsed.
Population Growth in 2005
Given that in 2005, for each of the 14 million people present in a country, 0.028 were born and 0.008 died during the year, we can calculate the growth rate as follows:
r = (birth rate - death rate) = (0.028 - 0.008) = 0.02
We can also determine the initial number of individuals as N0 = 14 million.
Using these values, we can write the exponential equation for population growth as:
N(t) = 14e^(0.02t)
Prediction for Population in 2015
To predict the number of people present in 2015, we need to substitute t = 10 years into the exponential equation and solve for N(10):
N(10) = 14e^(0.02*10) = 17.81 million
Therefore, the predicted number of people present in 2015 is 17 million, which corresponds to option B.
The exponential equation for population growth is given by:
N(t) = N0e^(rt)
Where N(t) is the number of individuals at time t, N0 is the initial number of individuals, e is the mathematical constant equal to approximately 2.718, r is the growth rate, and t is the time elapsed.
Population Growth in 2005
Given that in 2005, for each of the 14 million people present in a country, 0.028 were born and 0.008 died during the year, we can calculate the growth rate as follows:
r = (birth rate - death rate) = (0.028 - 0.008) = 0.02
We can also determine the initial number of individuals as N0 = 14 million.
Using these values, we can write the exponential equation for population growth as:
N(t) = 14e^(0.02t)
Prediction for Population in 2015
To predict the number of people present in 2015, we need to substitute t = 10 years into the exponential equation and solve for N(10):
N(10) = 14e^(0.02*10) = 17.81 million
Therefore, the predicted number of people present in 2015 is 17 million, which corresponds to option B.
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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 asa)25 millionsb)17 millionsc)20 millionsd)18 millionsCorrect answer is option 'B'. Can you explain this answer?
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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 asa)25 millionsb)17 millionsc)20 millionsd)18 millionsCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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 asa)25 millionsb)17 millionsc)20 millionsd)18 millionsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 asa)25 millionsb)17 millionsc)20 millionsd)18 millionsCorrect answer is option 'B'. Can you explain this answer?.
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 asa)25 millionsb)17 millionsc)20 millionsd)18 millionsCorrect answer is option 'B'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about 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 asa)25 millionsb)17 millionsc)20 millionsd)18 millionsCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 asa)25 millionsb)17 millionsc)20 millionsd)18 millionsCorrect answer is option 'B'. Can you explain this answer?.
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