Answer:
[tex]1679.60\ km^2[/tex]
Step-by-step explanation:
-We can use the exponential decay function to estimate the size after 13 years:
[tex]P_t=P_oe^{-rt}[/tex]
Where:
[tex]P_t[/tex] is the size after t years, t is the time, r is the rate of decay and [tex]P_o[/tex] the original size.
#We substitute and calculate as:
[tex]P_t=P_oe^{-rt}\\\\=4600e^{-13\times 0.0775}\\\\=1679.60[/tex]
Hence, the forest covers [tex]1679.60\ km^2[/tex] after 13 years.
