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Due to an increasing population, developed land in a region is increasing at a rate of 12% per year. If there are currently 8,500 square miles of developed land, which equation models the square mileage of developed land, y, after x year?

Respuesta :

y= x/0.12+8,500 is the answer I believe.
sandlee09

Answer:

[tex]y = 8500*(1+0.12)^{x}[/tex]

Step-by-step explanation:

Since the population keeps increasing as the land keeps being developed we can assume that the rate of growth is compounded annually. That being the case we can use the Exponential Growth Formula to solve this problem. The Formula would be the following,

[tex]y = a*(1+r)^{x}[/tex]

Where :

  1. y is the total amount of developed land after a given time
  2. a is the initial amount of land
  3. r is the rate of increase in decimal form
  4. x is the amount of time

Since we were given the rate and the initial area of land we can plug it into the equation .

[tex]y = 8500*(1+0.12)^{x}[/tex]

So with this formula we can calculate the amount of developed land after x years.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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