A certain forest covers an area of 4300 km². Suppose that each year this area decreases by 8.25%. What will the area be after 11 years?
Use the calculator provided and round your answer to the nearest square kilometer
In this problem we have an exponential decay fumction of the form
y=a(1-r)^x
where
y is the total area
x is the number of years
r is the rate of change -------> r=8.25%=0.0825
a is the initial value ------> a=4300 km2
substitute
y=4300(1-0.0825)^x
y=4300(0.9175)^x
therefore
For x=11 years
substitute
y=4300(0.9175)^11
y=1,668 km2