Question

In the year 2010, a country had a population of 10 million people, a birth rate of 7.2%, and a death rate of 2.2%. If the birth and death rates remain constant, the population will be close to 40 million in: a) 2100 b) 2020 c) 2015 d) 2038"

Answer 1

Given the birth and death rates, the population of the country is likely to reach 40 million around the year 2039. As this year is not an option, the closest correct answer is d) 2038.

Step-by-step explanation:

Given a population of 10 million in the year 2010 and a constant birth and death rate of 7.2% and 2.2% respectively, the population can be modelled by an exponential function. To find out when the population approaches 40 million, we need to solve the equation 10*(1+0.072-0.022)^n = 40 for 'n', where 'n' is the number of years after 2010. Solving this equation yields 'n' approximately equal to 29 years. Therefore, the population of the country would reach around 40 million in the year 2039. None of the choices in the question exactly matches this calculation, but option d) 2038 is the closest.

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