Since the area decreases the same percent each year, we will use the exponential function of decay to solve the question
[tex]f(x)=ab^x^{}[/tex]Where:
a is the initial value
b is the factor of decay
y is the new value
x is the time
[tex]\because a=2600km^2[/tex][tex]\because b=1-\frac{7}{100}=0.93[/tex][tex]\because x=7years[/tex][tex]y=2600(0.93)^7[/tex]Let us find the answer using the calculator
[tex]y=1564.422264km^2[/tex]Round it to the nearest square km means a nearest whole number
y = 1564 km^2
The final amount is 1564 square kilometers
