Math Exponential Functions

Question

A certain forest covers an area of 4600 km. Suppose that each year this area decreases by 6%. What will the area be after 9 years? use the calculator provided and round your answer to the nearest square kilometer.

Answer 1

4600(1-.06)^9

4600(.94^9)

= 0.573(4600)

=2,635.77609

= about 2,636 square kilometers in 9 years

or

=4600/e^.06(9) = 4600/e^.54= 2680.64

= about 2,681 km^2

the 2nd calculation assumes a natural decay, continuously

which seems more realistic for a forest

the 1st calculation assumes a sudden abrupt once a year decrease

which seems unlikely or unrealistic

unless once a year some logging company cuts down 6% of the trees

in one day