Answer:
After 14 years, the area will be 2342.4 km squared.
Step-by-step explanation:
Since the area is decreasing, we can use the decaying exponential function
[tex]y = A(1 - r)^{t}[/tex]
where
Given
Initial Area A = 4000 km squared
Rate r = 3.75% = 3.75/100 = 0.0375
Time period t = 14
To Determine
The Area after 14 years = y = ?
Plug in the values in the formula
[tex]y = A(1 - r)^{t}[/tex]
[tex]y\:=4000\left(1\:-\:0.0375\right)^{14}[/tex]
[tex]y=4000\cdot \:0.9625^{14}[/tex]
[tex]y=2342.4[/tex] km squared
Therefore, after 14 years, the area will be 2342.4 km squared.
