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 years?

Step-by-step explanation:

Increase in the population is a phenomenon of exponential growth.

Therefore, growth in the population will lead to the increase in the developed land exponentially.

Function representing the increase in developed land will be

Where = Developed land after time 't'

= Initial land

t = Time or duration

r = Rate of increase in the developed land

Now we plug in the values in the given function

= 8500 square miles

t = x years

= y

r = (1 + 12%) = 1.12

will be the answer.