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Pavel [41]
3 years ago
6

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

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

The city with a <em>doubling</em> time of 83 years and an <em>initial</em> population of 88200 years will reach a population of 705600 habitants in 249 years.

<h3>How to predict the population of a city</h3>

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 <em>exponential</em> 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 <em>doubling</em> time of 83 years and an <em>initial</em> population of 88200 years will reach a population of 705600 habitants in 249 years.

To learn more on exponential functions: brainly.com/question/11487261

#SPJ1

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