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Answer:
Year = 1995 and population = 315
Year = 2015 and population = 715
Step-by-step explanation:
It is given that the population of two different villages is modeled by the given equations:
The population of both villages are same after x years after 1980 if
Splitting the middle term, we get
It means, after 15 or 35 years, the population will same.
For x=15, years is and population is
For x=35, years is and population is
.
Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.