Question

A certain covers area of 4400 km^2. Suppose that each year this area decreases by 5.5% what will the area be after 10 years? Round your answer to the nearest square kilometer

Answer 1

Take into account that the change of the area can be modeled with the following expression:

$\begin{gathered} A=4400(1-0.055)^t \\ A=4400(0.945)^t \end{gathered}$

where A is the area and t the time.

In this case, replace t = 10 and simplify:

$A=4400(0.945)^{10}\approx2499.02$

Hence, after 10 years the area is approximately 2499.02 km^2