The city with a doubling time of 83 years and an initial population of 88200 years will reach a population of 705600 habitants in 249 years.
In this question we have a city whose population is doubled every 83 years. Hence, we can model the growth of the city with an exponential model of the form:
[tex]y = 88200 \cdot 2^{\frac{t}{83} }[/tex] (1)
Where:
If we know that t = 249, then the population of the city after 249 years is:
[tex]y = 88200 \cdot 2^{249/83}[/tex]
y = 705600
The city with a doubling time of 83 years and an initial population of 88200 years will reach a population of 705600 habitants in 249 years.
To learn more on exponential functions: https://brainly.com/question/11487261
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