Explanation:
The decrease can be found with this equation:
[tex]A=A_0(1-r)^t[/tex]A0 is the initial area covered by the forest. r is the annual rate at which this area decreases. t is the time in years and A is the area after t years.
In this problem we have:
• A0 = 2700km²
,• r = 3% = 0.03
,• t = 15 years
[tex]\begin{gathered} A=2700(1-0.03)^{15} \\ A=2700\cdot0.97^{15} \\ A\approx2700\cdot0.633 \\ A\approx1709.778 \end{gathered}[/tex]Answer:
Rounded to the nearest square kilometer, the area after 15 years is 1710 km²