Question

A city doubled it’s size every 83 years. If the population is currently 88,200 what will the population be in 249 years?

Answer 1

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.

How to predict the population of a city

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:

$y = 88200 \cdot 2^{\frac{t}{83} }$     (1)

Where:

• t - Time, in years
• y - Population

If we know that t = 249, then the population of the city after 249 years is:

$y = 88200 \cdot 2^{249/83}$

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: brainly.com/question/11487261

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