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Question

A given population of rats inhabiting a habitat X consisted 500 rats at the beginning of the year. Throughout the year there were 200 rats born and 150 rats that died. Around 65 rats from a neighbouring habitat entered this population of habitat X in the middle of the year and started living with the original population. 30 rats left the population by the end of the year to find a new habitat. What is the final size of the population living in habitat X at the end of the year?

A
415
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B
585
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C
315
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D
645
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Solution

In the given scenario,
Initial size of the population (Nt) = 500 rats
Number of births during the given time period of a year, i.e, natality (B) = 200 rats
Number of deaths during the given time period of a year, i.e, mortality (D) = 150 rats
Number of rats entering the population during the given time period of a year, i.e, immigration (I) = 65 rats
Number of rats leaving the population during the given time period of a year, i.e, emigration (E) = 30 rats
Therefore the final population density at the end of the year (Nt+1) can be calculated as,
Nt+1=Nt+[(B+I)(D+E)]
= 500+[(200+65) - (150+ 30)] = 585 rats


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