The area will be 2522.60 km^2 after 11 years
Step-by-step explanation:
First of all, we have to form a funtion for the given scenario.
Let
A be the initial area
r be the decrease rate
and t be the time
Let A_n be the area after t years
Then the function can be given by:
[tex]A_n=A(1-r)^t[/tex]
Given
A=4700 km^2
r=5.5%
t=11 years
Putting the value of rate
[tex]A_n=4700(1-0.055)^t\\=4700(0.945)^t[/tex]
The function can be used to calculate the reduced area
Putting t=11
[tex]A_n=4700(0.945)^{11}\\=2522.596[/tex]
Rounding off to nearest hundredth
[tex]A_n=2522.60\ km^2[/tex]
The area will be 2522.60 km^2 after 11 years
Keywords: Area, Functions
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