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?
A.
y = 12(85)x
B.
y = 8,500(1.12)x
C.
y = 1.12(8,500)x
D.
y = 8,500(0.12)x
1 answer
The correct equation that models the square mileage of developed land \(y\) after \(x\) years, given that it increases at a rate of 12% per year from an initial value of 8,500 square miles, is:
B. \(y = 8,500(1.12)^x\)
This equation indicates that the value of developed land starts at 8,500 and increases by a factor of 1.12 for each year that passes, reflecting a 12% annual growth rate.
1 answer
1 answer
1 answer
1 answer