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Question

A country's birth rate is the number of births per year per $$1000$$ people in the country, and a country's death rate is the number of deaths per year per $$1000$$ people. Immigration refers to the number of people who move into a country each year, and emigration refers to the number of people who move out of the country each year. A country's population growth is determined by these four variables. Table $$1$$ gives birth, death, immigration and emigration rates in four countries and lines $$1-4$$ in Figure $$1$$ model in the population for the four countries shown over time.
   Birth Death Immigration Emigration
East Zealand$$20$$$$x$$$$1000$$$$1000$$
West Zealand$$21$$$$21$$$$12100$$$$y$$
South Zealand$$36$$$$24$$$$z$$$$500$$
North Zealand$$13$$$$13$$$$82000$$$$9600$$
Name the country whose population is represented by line $$1$$.
479054.JPG


A
East Zealand
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B
West Zealand
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C
North Zealand
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D
South Zealand
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Solution

The correct option is C South Zealand
$$\Rightarrow$$  Line $$1$$ shows exponential growth, because the line curves upward. 
$$\Rightarrow$$  Since, birth rate and death rate are per $$1,000$$ people, a birth rate higher than a death rate will result in exponential growth (because births-deaths will increase as the population increases). 
$$\Rightarrow$$  Immigration and emigration numbers are per year and therefore have a linear effect on the graph (as the absolute change in the population due to immigration-emigration is constant). 
$$\Rightarrow$$  South Zealand has more births per $$1,000$$ than deaths per $$1,000$$. 
$$\therefore$$  Correct answer is option $$D$$ South Zealand.

Mathematics

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